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Finding the Third Proportional to 87,266.25 and 140,010.75

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Solution

The third proportional to 87,266.25 and 140,010.75 is: 224,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,266.25 : 140,010.75 = 140,010.75 : x
  2. Step 2: Convert to fraction form
    87,266.25/140,010.75 = 140,010.75/x
  3. Step 3: Cross multiply
    87,266.25x = 140,010.75 × 140,010.75
  4. Step 4: Simplify right side
    87,266.25x = 19,603,010,115.56
  5. Step 5: Solve for x
    x = 19,603,010,115.56/87,266.25
  6. Step 6: Final answer
    x = 224,634.50

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.