Permeating rhymes with:
abbreviating, affiliating, alleviating, appreciating, appropriating, asphyxiating, associating, delineating, depreciating, deviating, differentiating, emaciating, enunciating, excoriating, excruciating, humiliating, inebriating, infuriating, ingratiating, initiating, instantiating, mediating, misappropriating, nauseating, negotiating, obviating, officiating, radiating, recreating, renegotiating, repatriating, repudiating, retaliating
Permeating sounds like:
parenting, permitting, permutating, permutations, premonitions, prentnieks, printing, printing's, printings, promoting, promotions