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Finding the Third Proportional to 87,783.75 and 187,201.13

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Solution

The third proportional to 87,783.75 and 187,201.13 is: 399,211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,783.75 : 187,201.13 = 187,201.13 : x
  2. Step 2: Convert to fraction form
    87,783.75/187,201.13 = 187,201.13/x
  3. Step 3: Cross multiply
    87,783.75x = 187,201.13 × 187,201.13
  4. Step 4: Simplify right side
    87,783.75x = 35,044,261,201.27
  5. Step 5: Solve for x
    x = 35,044,261,201.27/87,783.75
  6. Step 6: Final answer
    x = 399,211.26

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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.