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Finding the Third Proportional to 81,228 and 125,012

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Solution

The third proportional to 81,228 and 125,012 is: 192,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,228 : 125,012 = 125,012 : x
  2. Step 2: Convert to fraction form
    81,228/125,012 = 125,012/x
  3. Step 3: Cross multiply
    81,228x = 125,012 × 125,012
  4. Step 4: Simplify right side
    81,228x = 15,628,000,144
  5. Step 5: Solve for x
    x = 15,628,000,144/81,228
  6. Step 6: Final answer
    x = 192,396.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.