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Finding the Third Proportional to 87,252 and 186,162

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Solution

The third proportional to 87,252 and 186,162 is: 397,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,252 : 186,162 = 186,162 : x
  2. Step 2: Convert to fraction form
    87,252/186,162 = 186,162/x
  3. Step 3: Cross multiply
    87,252x = 186,162 × 186,162
  4. Step 4: Simplify right side
    87,252x = 34,656,290,244
  5. Step 5: Solve for x
    x = 34,656,290,244/87,252
  6. Step 6: Final answer
    x = 397,197.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.