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Finding the Third Proportional to 126.09 and 273.19

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Solution

The third proportional to 126.09 and 273.19 is: 591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.09 : 273.19 = 273.19 : x
  2. Step 2: Convert to fraction form
    126.09/273.19 = 273.19/x
  3. Step 3: Cross multiply
    126.09x = 273.19 × 273.19
  4. Step 4: Simplify right side
    126.09x = 74,631.41
  5. Step 5: Solve for x
    x = 74,631.41/126.09
  6. Step 6: Final answer
    x = 591.87

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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.