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Finding the Third Proportional to 89,524 and 125,488

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Solution

The third proportional to 89,524 and 125,488 is: 175,899.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,524 : 125,488 = 125,488 : x
  2. Step 2: Convert to fraction form
    89,524/125,488 = 125,488/x
  3. Step 3: Cross multiply
    89,524x = 125,488 × 125,488
  4. Step 4: Simplify right side
    89,524x = 15,747,238,144
  5. Step 5: Solve for x
    x = 15,747,238,144/89,524
  6. Step 6: Final answer
    x = 175,899.63

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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.