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Finding the Third Proportional to 71,717 and 95,788

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Solution

The third proportional to 71,717 and 95,788 is: 127,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,717 : 95,788 = 95,788 : x
  2. Step 2: Convert to fraction form
    71,717/95,788 = 95,788/x
  3. Step 3: Cross multiply
    71,717x = 95,788 × 95,788
  4. Step 4: Simplify right side
    71,717x = 9,175,340,944
  5. Step 5: Solve for x
    x = 9,175,340,944/71,717
  6. Step 6: Final answer
    x = 127,938.16

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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.