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Finding the Third Proportional to 71,377 and 96,145

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Solution

The third proportional to 71,377 and 96,145 is: 129,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,377 : 96,145 = 96,145 : x
  2. Step 2: Convert to fraction form
    71,377/96,145 = 96,145/x
  3. Step 3: Cross multiply
    71,377x = 96,145 × 96,145
  4. Step 4: Simplify right side
    71,377x = 9,243,861,025
  5. Step 5: Solve for x
    x = 9,243,861,025/71,377
  6. Step 6: Final answer
    x = 129,507.56

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Why These Related Problems?

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