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Finding the Third Proportional to 31,542 and 68,684

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Solution

The third proportional to 31,542 and 68,684 is: 149,562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,542 : 68,684 = 68,684 : x
  2. Step 2: Convert to fraction form
    31,542/68,684 = 68,684/x
  3. Step 3: Cross multiply
    31,542x = 68,684 × 68,684
  4. Step 4: Simplify right side
    31,542x = 4,717,491,856
  5. Step 5: Solve for x
    x = 4,717,491,856/31,542
  6. Step 6: Final answer
    x = 149,562.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.