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Finding the Third Proportional to 83,187 and 124,740

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Solution

The third proportional to 83,187 and 124,740 is: 187,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,187 : 124,740 = 124,740 : x
  2. Step 2: Convert to fraction form
    83,187/124,740 = 124,740/x
  3. Step 3: Cross multiply
    83,187x = 124,740 × 124,740
  4. Step 4: Simplify right side
    83,187x = 15,560,067,600
  5. Step 5: Solve for x
    x = 15,560,067,600/83,187
  6. Step 6: Final answer
    x = 187,049.27

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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.