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Finding the Third Proportional to 80,228 and 124,728

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Solution

The third proportional to 80,228 and 124,728 is: 193,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,228 : 124,728 = 124,728 : x
  2. Step 2: Convert to fraction form
    80,228/124,728 = 124,728/x
  3. Step 3: Cross multiply
    80,228x = 124,728 × 124,728
  4. Step 4: Simplify right side
    80,228x = 15,557,073,984
  5. Step 5: Solve for x
    x = 15,557,073,984/80,228
  6. Step 6: Final answer
    x = 193,910.78

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