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Finding the Third Proportional to 68,792 and 150,542

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Solution

The third proportional to 68,792 and 150,542 is: 329,440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,792 : 150,542 = 150,542 : x
  2. Step 2: Convert to fraction form
    68,792/150,542 = 150,542/x
  3. Step 3: Cross multiply
    68,792x = 150,542 × 150,542
  4. Step 4: Simplify right side
    68,792x = 22,662,893,764
  5. Step 5: Solve for x
    x = 22,662,893,764/68,792
  6. Step 6: Final answer
    x = 329,440.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.