"Tied to" is a commonly used phrase that typically denotes a connection or association between different elements. However, there are several other words that can be used as synonyms for this word. Some of these synonyms include "connected to," "linked to," "bound to," "related to," "affiliated with," "attached to," and "associated with." Each of these words can be used interchangeably in a sentence to convey similar meaning. These synonyms can come in handy when writing to add variety to one's writing style and to avoid using the same phrase repeatedly.