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Finding the Third Proportional to 81,855 and 171,966

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Solution

The third proportional to 81,855 and 171,966 is: 361,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,855 : 171,966 = 171,966 : x
  2. Step 2: Convert to fraction form
    81,855/171,966 = 171,966/x
  3. Step 3: Cross multiply
    81,855x = 171,966 × 171,966
  4. Step 4: Simplify right side
    81,855x = 29,572,305,156
  5. Step 5: Solve for x
    x = 29,572,305,156/81,855
  6. Step 6: Final answer
    x = 361,276.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.