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Finding the Third Proportional to 82,027 and 176,857

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Solution

The third proportional to 82,027 and 176,857 is: 381,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,027 : 176,857 = 176,857 : x
  2. Step 2: Convert to fraction form
    82,027/176,857 = 176,857/x
  3. Step 3: Cross multiply
    82,027x = 176,857 × 176,857
  4. Step 4: Simplify right side
    82,027x = 31,278,398,449
  5. Step 5: Solve for x
    x = 31,278,398,449/82,027
  6. Step 6: Final answer
    x = 381,318.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.