Finding the Third Proportional to 71,948 and 112,614
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Solution
The third proportional to 71,948 and 112,614 is: 176,264.98
Step by Step Solution
- Step 1: Write the proportion equation
71,948 : 112,614 = 112,614 : x - Step 2: Convert to fraction form
71,948/112,614 = 112,614/x - Step 3: Cross multiply
71,948x = 112,614 × 112,614 - Step 4: Simplify right side
71,948x = 12,681,912,996 - Step 5: Solve for x
x = 12,681,912,996/71,948 - Step 6: Final answer
x = 176,264.98
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.