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Finding the Third Proportional to 125,481.26 and 188,500.61

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Solution

The third proportional to 125,481.26 and 188,500.61 is: 283,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,481.26 : 188,500.61 = 188,500.61 : x
  2. Step 2: Convert to fraction form
    125,481.26/188,500.61 = 188,500.61/x
  3. Step 3: Cross multiply
    125,481.26x = 188,500.61 × 188,500.61
  4. Step 4: Simplify right side
    125,481.26x = 35,532,478,262.09
  5. Step 5: Solve for x
    x = 35,532,478,262.09/125,481.26
  6. Step 6: Final answer
    x = 283,169.60

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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.