Final answer:
The relationship where one record in a table is associated with many records in another table, and vice versa, is known as a many-to-many relationship.
Step-by-step explanation:
The relationship described in the question is a many-to-many relationship. In a many-to-many relationship, one record in a table can relate to many records in another table, and vice versa. To handle this type of relationship in databases, an intermediate table, also known as a junction or linking table, is often used.
This table contains foreign keys that reference the primary keys of the two tables that are being linked together, thus establishing a many-to-many relationship between them.