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Finding the Third Proportional to 59,228 and 125,107

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Solution

The third proportional to 59,228 and 125,107 is: 264,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,228 : 125,107 = 125,107 : x
  2. Step 2: Convert to fraction form
    59,228/125,107 = 125,107/x
  3. Step 3: Cross multiply
    59,228x = 125,107 × 125,107
  4. Step 4: Simplify right side
    59,228x = 15,651,761,449
  5. Step 5: Solve for x
    x = 15,651,761,449/59,228
  6. Step 6: Final answer
    x = 264,262.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.