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Finding the Third Proportional to 126,861.50 and 272,859.25

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Solution

The third proportional to 126,861.50 and 272,859.25 is: 586,877.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,861.50 : 272,859.25 = 272,859.25 : x
  2. Step 2: Convert to fraction form
    126,861.50/272,859.25 = 272,859.25/x
  3. Step 3: Cross multiply
    126,861.50x = 272,859.25 × 272,859.25
  4. Step 4: Simplify right side
    126,861.50x = 74,452,170,310.56
  5. Step 5: Solve for x
    x = 74,452,170,310.56/126,861.50
  6. Step 6: Final answer
    x = 586,877.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.