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Finding the Third Proportional to 87,754 and 125,401

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Solution

The third proportional to 87,754 and 125,401 is: 179,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,754 : 125,401 = 125,401 : x
  2. Step 2: Convert to fraction form
    87,754/125,401 = 125,401/x
  3. Step 3: Cross multiply
    87,754x = 125,401 × 125,401
  4. Step 4: Simplify right side
    87,754x = 15,725,410,801
  5. Step 5: Solve for x
    x = 15,725,410,801/87,754
  6. Step 6: Final answer
    x = 179,198.79

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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.