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Finding the Third Proportional to 87,501 and 131,224.50

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Solution

The third proportional to 87,501 and 131,224.50 is: 196,796.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,501 : 131,224.50 = 131,224.50 : x
  2. Step 2: Convert to fraction form
    87,501/131,224.50 = 131,224.50/x
  3. Step 3: Cross multiply
    87,501x = 131,224.50 × 131,224.50
  4. Step 4: Simplify right side
    87,501x = 17,219,869,400.25
  5. Step 5: Solve for x
    x = 17,219,869,400.25/87,501
  6. Step 6: Final answer
    x = 196,796.26

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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.