Just finished reading this story of Poe, and I haven't gone through the podcast yet, but I really liked this detective story by Poe, the story starts weirdly enough where we are given kind of info dump by Poe, regarding people who are analysts and people who are genius.
From my understanding what he wanted to say was people who read other people can be termed as genius, because analysts operate within a given set of rules, like chess players who follow a stringent set of rules to win.
From this we are quickly introduced to our watsonesque narrator who meets an eccentric man in Paris, called as Dupin, and they quickly hit it off, as they share the same interests. But Dupin is not your normal person, who can see through people as if he watching someone through a window, and the way he arrives at conclusions seemed so much like Sherlock Holmes to me.
Then we have mysterious murders happening in Rue Morgue, and police find themselves at wit's end finding exactly what can be motive for murders, also the witnesses can't seem to identify the second voice in the room which seems harsh, and unidentifiable. The way Dupin arrives at conclusion is fantastic, and reminds the methods Sherlock Holmes methods.
I don't know who inspired whom but Dupin & Sherlock have lot of characteristics in common, they are interested only in solving the mystery, and finding out the truth, although Sherlock sometimes does show some humane characteristics.
Also Dupin is clearly french while Sherlock also seems to have some French connection, but are interested in music, although Dupin seems to be more inclined towards theater and books.