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Finding the Third Proportional to 87,660 and 186,241

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Solution

The third proportional to 87,660 and 186,241 is: 395,684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,660 : 186,241 = 186,241 : x
  2. Step 2: Convert to fraction form
    87,660/186,241 = 186,241/x
  3. Step 3: Cross multiply
    87,660x = 186,241 × 186,241
  4. Step 4: Simplify right side
    87,660x = 34,685,710,081
  5. Step 5: Solve for x
    x = 34,685,710,081/87,660
  6. Step 6: Final answer
    x = 395,684.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.