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Finding the Third Proportional to 83,754 and 125,811

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Solution

The third proportional to 83,754 and 125,811 is: 188,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,754 : 125,811 = 125,811 : x
  2. Step 2: Convert to fraction form
    83,754/125,811 = 125,811/x
  3. Step 3: Cross multiply
    83,754x = 125,811 × 125,811
  4. Step 4: Simplify right side
    83,754x = 15,828,407,721
  5. Step 5: Solve for x
    x = 15,828,407,721/83,754
  6. Step 6: Final answer
    x = 188,986.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.