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Finding the Third Proportional to 67,496 and 150,542

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Solution

The third proportional to 67,496 and 150,542 is: 335,766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,496 : 150,542 = 150,542 : x
  2. Step 2: Convert to fraction form
    67,496/150,542 = 150,542/x
  3. Step 3: Cross multiply
    67,496x = 150,542 × 150,542
  4. Step 4: Simplify right side
    67,496x = 22,662,893,764
  5. Step 5: Solve for x
    x = 22,662,893,764/67,496
  6. Step 6: Final answer
    x = 335,766.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.