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Finding the Third Proportional to 62,542 and 127,631

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Solution

The third proportional to 62,542 and 127,631 is: 260,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,542 : 127,631 = 127,631 : x
  2. Step 2: Convert to fraction form
    62,542/127,631 = 127,631/x
  3. Step 3: Cross multiply
    62,542x = 127,631 × 127,631
  4. Step 4: Simplify right side
    62,542x = 16,289,672,161
  5. Step 5: Solve for x
    x = 16,289,672,161/62,542
  6. Step 6: Final answer
    x = 260,459.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.