Euthanize rhymes with:
africanize, agonize, aluminize, americanize, antagonize, balkanize, canonize, carbonize, christianize, colonize, communize, demonize, disorganize, galvanize, harmonize, hellenize, homogenize, humanize, ionize, lionize, mechanize, organize, patronize, reorganize, revolutionize, scrutinize, suburbanize, synchronize, unionize, urbanize, womanize
Euthanize sounds like:
eating, eaton's, eddings, eddins, edens, editing, edition's, editions, ethnic, ethnics, ethnos, ethnos's, euthanasia, euthanasia's, eyewitness, eyewitnesses