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Finding the Third Proportional to 54,915 and 71,139

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Solution

The third proportional to 54,915 and 71,139 is: 92,156.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,915 : 71,139 = 71,139 : x
  2. Step 2: Convert to fraction form
    54,915/71,139 = 71,139/x
  3. Step 3: Cross multiply
    54,915x = 71,139 × 71,139
  4. Step 4: Simplify right side
    54,915x = 5,060,757,321
  5. Step 5: Solve for x
    x = 5,060,757,321/54,915
  6. Step 6: Final answer
    x = 92,156.19

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.