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Finding the Third Proportional to 58,542 and 126,306

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Solution

The third proportional to 58,542 and 126,306 is: 272,508.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,542 : 126,306 = 126,306 : x
  2. Step 2: Convert to fraction form
    58,542/126,306 = 126,306/x
  3. Step 3: Cross multiply
    58,542x = 126,306 × 126,306
  4. Step 4: Simplify right side
    58,542x = 15,953,205,636
  5. Step 5: Solve for x
    x = 15,953,205,636/58,542
  6. Step 6: Final answer
    x = 272,508.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.