Finding the Third Proportional to 71,464.50 and 141,122
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Solution
The third proportional to 71,464.50 and 141,122 is: 278,675.69
Step by Step Solution
- Step 1: Write the proportion equation
71,464.50 : 141,122 = 141,122 : x - Step 2: Convert to fraction form
71,464.50/141,122 = 141,122/x - Step 3: Cross multiply
71,464.50x = 141,122 × 141,122 - Step 4: Simplify right side
71,464.50x = 19,915,418,884 - Step 5: Solve for x
x = 19,915,418,884/71,464.50 - Step 6: Final answer
x = 278,675.69
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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.