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Finding the Third Proportional to 86,549 and 131,448

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Solution

The third proportional to 86,549 and 131,448 is: 199,639.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,549 : 131,448 = 131,448 : x
  2. Step 2: Convert to fraction form
    86,549/131,448 = 131,448/x
  3. Step 3: Cross multiply
    86,549x = 131,448 × 131,448
  4. Step 4: Simplify right side
    86,549x = 17,278,576,704
  5. Step 5: Solve for x
    x = 17,278,576,704/86,549
  6. Step 6: Final answer
    x = 199,639.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.