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Finding the Third Proportional to 89,518 and 125,481

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Solution

The third proportional to 89,518 and 125,481 is: 175,891.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,518 : 125,481 = 125,481 : x
  2. Step 2: Convert to fraction form
    89,518/125,481 = 125,481/x
  3. Step 3: Cross multiply
    89,518x = 125,481 × 125,481
  4. Step 4: Simplify right side
    89,518x = 15,745,481,361
  5. Step 5: Solve for x
    x = 15,745,481,361/89,518
  6. Step 6: Final answer
    x = 175,891.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.