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Finding the Third Proportional to 87,532.50 and 127,471

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Solution

The third proportional to 87,532.50 and 127,471 is: 185,632.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,532.50 : 127,471 = 127,471 : x
  2. Step 2: Convert to fraction form
    87,532.50/127,471 = 127,471/x
  3. Step 3: Cross multiply
    87,532.50x = 127,471 × 127,471
  4. Step 4: Simplify right side
    87,532.50x = 16,248,855,841
  5. Step 5: Solve for x
    x = 16,248,855,841/87,532.50
  6. Step 6: Final answer
    x = 185,632.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.