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Finding the Third Proportional to 87,529.50 and 190,901.25

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Solution

The third proportional to 87,529.50 and 190,901.25 is: 416,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,529.50 : 190,901.25 = 190,901.25 : x
  2. Step 2: Convert to fraction form
    87,529.50/190,901.25 = 190,901.25/x
  3. Step 3: Cross multiply
    87,529.50x = 190,901.25 × 190,901.25
  4. Step 4: Simplify right side
    87,529.50x = 36,443,287,251.56
  5. Step 5: Solve for x
    x = 36,443,287,251.56/87,529.50
  6. Step 6: Final answer
    x = 416,354.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.