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Finding the Third Proportional to 83,057 and 124,661

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Solution

The third proportional to 83,057 and 124,661 is: 187,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,057 : 124,661 = 124,661 : x
  2. Step 2: Convert to fraction form
    83,057/124,661 = 124,661/x
  3. Step 3: Cross multiply
    83,057x = 124,661 × 124,661
  4. Step 4: Simplify right side
    83,057x = 15,540,364,921
  5. Step 5: Solve for x
    x = 15,540,364,921/83,057
  6. Step 6: Final answer
    x = 187,104.82

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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.