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Finding the Third Proportional to 126,481.75 and 269,349.50

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Solution

The third proportional to 126,481.75 and 269,349.50 is: 573,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,481.75 : 269,349.50 = 269,349.50 : x
  2. Step 2: Convert to fraction form
    126,481.75/269,349.50 = 269,349.50/x
  3. Step 3: Cross multiply
    126,481.75x = 269,349.50 × 269,349.50
  4. Step 4: Simplify right side
    126,481.75x = 72,549,153,150.25
  5. Step 5: Solve for x
    x = 72,549,153,150.25/126,481.75
  6. Step 6: Final answer
    x = 573,593.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.