Without transitions the argument will sound bland and unorganized. All the hardwork put into the essay will be futile if there is no embellishment in the writing. Their must be ingenuity put into the argument, like transitions, to keep a reader comprehending your argument, as well as following each and every detail. Without transitions, your paper will not be able to do that.
The answer to your question would be the following one:
Cambridge dictionary defines "prevalent" as "existing very common or happening often". As regards "widespread", it states that it means "existing or happening in many places and/or among many people".
With respect to "requisite", Cambridge dictionary states that it is an adjective which means "necessary or needed for a particular purpose". As you can see, "necessary" is part of the definition of "requisite".
Finally, "propagate" is defined as "to spread opinions, lies, or beliefs among a lot of people". As you can see, "spread" is part of the definition of "propagate".
Prevalent: Widespread
Requisite: Necessary
Propagate: Spread