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Finding the Third Proportional to 71,715 and 95,785

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Solution

The third proportional to 71,715 and 95,785 is: 127,933.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,715 : 95,785 = 95,785 : x
  2. Step 2: Convert to fraction form
    71,715/95,785 = 95,785/x
  3. Step 3: Cross multiply
    71,715x = 95,785 × 95,785
  4. Step 4: Simplify right side
    71,715x = 9,174,766,225
  5. Step 5: Solve for x
    x = 9,174,766,225/71,715
  6. Step 6: Final answer
    x = 127,933.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.