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Finding the Third Proportional to 67,742 and 96,631

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Solution

The third proportional to 67,742 and 96,631 is: 137,839.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,742 : 96,631 = 96,631 : x
  2. Step 2: Convert to fraction form
    67,742/96,631 = 96,631/x
  3. Step 3: Cross multiply
    67,742x = 96,631 × 96,631
  4. Step 4: Simplify right side
    67,742x = 9,337,550,161
  5. Step 5: Solve for x
    x = 9,337,550,161/67,742
  6. Step 6: Final answer
    x = 137,839.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.