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Finding the Third Proportional to 80,228 and 124,729

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Solution

The third proportional to 80,228 and 124,729 is: 193,913.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,228 : 124,729 = 124,729 : x
  2. Step 2: Convert to fraction form
    80,228/124,729 = 124,729/x
  3. Step 3: Cross multiply
    80,228x = 124,729 × 124,729
  4. Step 4: Simplify right side
    80,228x = 15,557,323,441
  5. Step 5: Solve for x
    x = 15,557,323,441/80,228
  6. Step 6: Final answer
    x = 193,913.89

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Why These Related Problems?

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