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Finding the Third Proportional to 87,234 and 130,847.25

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Solution

The third proportional to 87,234 and 130,847.25 is: 196,265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,234 : 130,847.25 = 130,847.25 : x
  2. Step 2: Convert to fraction form
    87,234/130,847.25 = 130,847.25/x
  3. Step 3: Cross multiply
    87,234x = 130,847.25 × 130,847.25
  4. Step 4: Simplify right side
    87,234x = 17,121,002,832.56
  5. Step 5: Solve for x
    x = 17,121,002,832.56/87,234
  6. Step 6: Final answer
    x = 196,265.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.