Finding the Third Proportional to 64,774 and 97,631
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Solution
The third proportional to 64,774 and 97,631 is: 147,154.91
Step by Step Solution
- Step 1: Write the proportion equation
64,774 : 97,631 = 97,631 : x - Step 2: Convert to fraction form
64,774/97,631 = 97,631/x - Step 3: Cross multiply
64,774x = 97,631 × 97,631 - Step 4: Simplify right side
64,774x = 9,531,812,161 - Step 5: Solve for x
x = 9,531,812,161/64,774 - Step 6: Final answer
x = 147,154.91
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.