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Finding the Third Proportional to 83,542 and 183,700

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Solution

The third proportional to 83,542 and 183,700 is: 403,936.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,542 : 183,700 = 183,700 : x
  2. Step 2: Convert to fraction form
    83,542/183,700 = 183,700/x
  3. Step 3: Cross multiply
    83,542x = 183,700 × 183,700
  4. Step 4: Simplify right side
    83,542x = 33,745,690,000
  5. Step 5: Solve for x
    x = 33,745,690,000/83,542
  6. Step 6: Final answer
    x = 403,936.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.