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Finding the Third Proportional to 71,716 and 95,787

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Solution

The third proportional to 71,716 and 95,787 is: 127,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,716 : 95,787 = 95,787 : x
  2. Step 2: Convert to fraction form
    71,716/95,787 = 95,787/x
  3. Step 3: Cross multiply
    71,716x = 95,787 × 95,787
  4. Step 4: Simplify right side
    71,716x = 9,175,149,369
  5. Step 5: Solve for x
    x = 9,175,149,369/71,716
  6. Step 6: Final answer
    x = 127,937.27

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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.