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Finding the Third Proportional to 126,874.50 and 275,616.75

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Solution

The third proportional to 126,874.50 and 275,616.75 is: 598,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,874.50 : 275,616.75 = 275,616.75 : x
  2. Step 2: Convert to fraction form
    126,874.50/275,616.75 = 275,616.75/x
  3. Step 3: Cross multiply
    126,874.50x = 275,616.75 × 275,616.75
  4. Step 4: Simplify right side
    126,874.50x = 75,964,592,880.56
  5. Step 5: Solve for x
    x = 75,964,592,880.56/126,874.50
  6. Step 6: Final answer
    x = 598,738.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.