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Finding the Third Proportional to 87,682 and 181,172

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Solution

The third proportional to 87,682 and 181,172 is: 374,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,682 : 181,172 = 181,172 : x
  2. Step 2: Convert to fraction form
    87,682/181,172 = 181,172/x
  3. Step 3: Cross multiply
    87,682x = 181,172 × 181,172
  4. Step 4: Simplify right side
    87,682x = 32,823,293,584
  5. Step 5: Solve for x
    x = 32,823,293,584/87,682
  6. Step 6: Final answer
    x = 374,344.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.