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Finding the Third Proportional to 52,934 and 113,542

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Solution

The third proportional to 52,934 and 113,542 is: 243,544.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,934 : 113,542 = 113,542 : x
  2. Step 2: Convert to fraction form
    52,934/113,542 = 113,542/x
  3. Step 3: Cross multiply
    52,934x = 113,542 × 113,542
  4. Step 4: Simplify right side
    52,934x = 12,891,785,764
  5. Step 5: Solve for x
    x = 12,891,785,764/52,934
  6. Step 6: Final answer
    x = 243,544.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.