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Finding the Third Proportional to 70,542 and 95,697

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Solution

The third proportional to 70,542 and 95,697 is: 129,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,542 : 95,697 = 95,697 : x
  2. Step 2: Convert to fraction form
    70,542/95,697 = 95,697/x
  3. Step 3: Cross multiply
    70,542x = 95,697 × 95,697
  4. Step 4: Simplify right side
    70,542x = 9,157,915,809
  5. Step 5: Solve for x
    x = 9,157,915,809/70,542
  6. Step 6: Final answer
    x = 129,822.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.