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Finding the Third Proportional to 31,747 and 69,725

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Solution

The third proportional to 31,747 and 69,725 is: 153,134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,747 : 69,725 = 69,725 : x
  2. Step 2: Convert to fraction form
    31,747/69,725 = 69,725/x
  3. Step 3: Cross multiply
    31,747x = 69,725 × 69,725
  4. Step 4: Simplify right side
    31,747x = 4,861,575,625
  5. Step 5: Solve for x
    x = 4,861,575,625/31,747
  6. Step 6: Final answer
    x = 153,134.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.