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Finding the Third Proportional to 83,601 and 178,542

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Solution

The third proportional to 83,601 and 178,542 is: 381,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,601 : 178,542 = 178,542 : x
  2. Step 2: Convert to fraction form
    83,601/178,542 = 178,542/x
  3. Step 3: Cross multiply
    83,601x = 178,542 × 178,542
  4. Step 4: Simplify right side
    83,601x = 31,877,245,764
  5. Step 5: Solve for x
    x = 31,877,245,764/83,601
  6. Step 6: Final answer
    x = 381,302.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.