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Finding the Third Proportional to 63,742 and 132,074

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Solution

The third proportional to 63,742 and 132,074 is: 273,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,742 : 132,074 = 132,074 : x
  2. Step 2: Convert to fraction form
    63,742/132,074 = 132,074/x
  3. Step 3: Cross multiply
    63,742x = 132,074 × 132,074
  4. Step 4: Simplify right side
    63,742x = 17,443,541,476
  5. Step 5: Solve for x
    x = 17,443,541,476/63,742
  6. Step 6: Final answer
    x = 273,658.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.