When it comes to synonyms for "provide pressure to," there are several options available. One possible phrase is "apply force," which connotes the act of exerting influence or pressure on someone or something. Another useful synonym is "exert pressure," which similarly emphasizes the act of pressing or pressuring someone or something. Additionally, the phrase "place demand on" can be a good alternative, as it suggests a high level of expectation or obligation. Other possibilities include "impose stress on," "create tension," "put influence on," and "push hard for." Ultimately, the best synonym will depend on the intended tone and context of the sentence or phrase.