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Finding the Third Proportional to 80,667 and 125,418

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Solution

The third proportional to 80,667 and 125,418 is: 194,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,667 : 125,418 = 125,418 : x
  2. Step 2: Convert to fraction form
    80,667/125,418 = 125,418/x
  3. Step 3: Cross multiply
    80,667x = 125,418 × 125,418
  4. Step 4: Simplify right side
    80,667x = 15,729,674,724
  5. Step 5: Solve for x
    x = 15,729,674,724/80,667
  6. Step 6: Final answer
    x = 194,995.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.