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Finding the Third Proportional to 49,766 and 75,439

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Solution

The third proportional to 49,766 and 75,439 is: 114,356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,766 : 75,439 = 75,439 : x
  2. Step 2: Convert to fraction form
    49,766/75,439 = 75,439/x
  3. Step 3: Cross multiply
    49,766x = 75,439 × 75,439
  4. Step 4: Simplify right side
    49,766x = 5,691,042,721
  5. Step 5: Solve for x
    x = 5,691,042,721/49,766
  6. Step 6: Final answer
    x = 114,356.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.