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Finding the Third Proportional to 87,775 and 125,431.50

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Solution

The third proportional to 87,775 and 125,431.50 is: 179,243.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,775 : 125,431.50 = 125,431.50 : x
  2. Step 2: Convert to fraction form
    87,775/125,431.50 = 125,431.50/x
  3. Step 3: Cross multiply
    87,775x = 125,431.50 × 125,431.50
  4. Step 4: Simplify right side
    87,775x = 15,733,061,192.25
  5. Step 5: Solve for x
    x = 15,733,061,192.25/87,775
  6. Step 6: Final answer
    x = 179,243.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.