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Finding the Third Proportional to 87,347.13 and 186,133.25

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Solution

The third proportional to 87,347.13 and 186,133.25 is: 396,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,347.13 : 186,133.25 = 186,133.25 : x
  2. Step 2: Convert to fraction form
    87,347.13/186,133.25 = 186,133.25/x
  3. Step 3: Cross multiply
    87,347.13x = 186,133.25 × 186,133.25
  4. Step 4: Simplify right side
    87,347.13x = 34,645,586,755.56
  5. Step 5: Solve for x
    x = 34,645,586,755.56/87,347.13
  6. Step 6: Final answer
    x = 396,642.55

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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.