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Finding the Third Proportional to 83,670 and 183,872

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Solution

The third proportional to 83,670 and 183,872 is: 404,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,670 : 183,872 = 183,872 : x
  2. Step 2: Convert to fraction form
    83,670/183,872 = 183,872/x
  3. Step 3: Cross multiply
    83,670x = 183,872 × 183,872
  4. Step 4: Simplify right side
    83,670x = 33,808,912,384
  5. Step 5: Solve for x
    x = 33,808,912,384/83,670
  6. Step 6: Final answer
    x = 404,074.49

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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.