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Finding the Third Proportional to 61,962 and 95,742

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Solution

The third proportional to 61,962 and 95,742 is: 147,937.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,962 : 95,742 = 95,742 : x
  2. Step 2: Convert to fraction form
    61,962/95,742 = 95,742/x
  3. Step 3: Cross multiply
    61,962x = 95,742 × 95,742
  4. Step 4: Simplify right side
    61,962x = 9,166,530,564
  5. Step 5: Solve for x
    x = 9,166,530,564/61,962
  6. Step 6: Final answer
    x = 147,937.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.