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Finding the Third Proportional to 31,732 and 68,769

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Solution

The third proportional to 31,732 and 68,769 is: 149,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,732 : 68,769 = 68,769 : x
  2. Step 2: Convert to fraction form
    31,732/68,769 = 68,769/x
  3. Step 3: Cross multiply
    31,732x = 68,769 × 68,769
  4. Step 4: Simplify right side
    31,732x = 4,729,175,361
  5. Step 5: Solve for x
    x = 4,729,175,361/31,732
  6. Step 6: Final answer
    x = 149,034.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.