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Finding the Third Proportional to 124,769.11 and 270,555.82

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Solution

The third proportional to 124,769.11 and 270,555.82 is: 586,687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,769.11 : 270,555.82 = 270,555.82 : x
  2. Step 2: Convert to fraction form
    124,769.11/270,555.82 = 270,555.82/x
  3. Step 3: Cross multiply
    124,769.11x = 270,555.82 × 270,555.82
  4. Step 4: Simplify right side
    124,769.11x = 73,200,451,904.97
  5. Step 5: Solve for x
    x = 73,200,451,904.97/124,769.11
  6. Step 6: Final answer
    x = 586,687.30

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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.