There are 3 US Post Offices in Scott County serving a total of 47,393 residents equating to 15,798 residents per post office. It's estimated that approximately 75,645 packages are handled across the 3 county post offices annually. Scott County is a county located in the U.S. state of Kentucky. As of the 2010 census, the population was 47,173. Its county seat is Georgetown. Scott County is part of the Lexington\u2013Fayette, KY Metropolitan Statistical Area."