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Finding the Third Proportional to 71,204 and 95,850

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Solution

The third proportional to 71,204 and 95,850 is: 129,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,204 : 95,850 = 95,850 : x
  2. Step 2: Convert to fraction form
    71,204/95,850 = 95,850/x
  3. Step 3: Cross multiply
    71,204x = 95,850 × 95,850
  4. Step 4: Simplify right side
    71,204x = 9,187,222,500
  5. Step 5: Solve for x
    x = 9,187,222,500/71,204
  6. Step 6: Final answer
    x = 129,026.78

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.