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Finding the Third Proportional to 83,189 and 124,743

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Solution

The third proportional to 83,189 and 124,743 is: 187,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,189 : 124,743 = 124,743 : x
  2. Step 2: Convert to fraction form
    83,189/124,743 = 124,743/x
  3. Step 3: Cross multiply
    83,189x = 124,743 × 124,743
  4. Step 4: Simplify right side
    83,189x = 15,560,816,049
  5. Step 5: Solve for x
    x = 15,560,816,049/83,189
  6. Step 6: Final answer
    x = 187,053.77

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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.