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Finding the Third Proportional to 87,781.50 and 190,506

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Solution

The third proportional to 87,781.50 and 190,506 is: 413,441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,781.50 : 190,506 = 190,506 : x
  2. Step 2: Convert to fraction form
    87,781.50/190,506 = 190,506/x
  3. Step 3: Cross multiply
    87,781.50x = 190,506 × 190,506
  4. Step 4: Simplify right side
    87,781.50x = 36,292,536,036
  5. Step 5: Solve for x
    x = 36,292,536,036/87,781.50
  6. Step 6: Final answer
    x = 413,441.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.