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Finding the Third Proportional to 126.83 and 273.95

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Solution

The third proportional to 126.83 and 273.95 is: 591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.83 : 273.95 = 273.95 : x
  2. Step 2: Convert to fraction form
    126.83/273.95 = 273.95/x
  3. Step 3: Cross multiply
    126.83x = 273.95 × 273.95
  4. Step 4: Simplify right side
    126.83x = 75,046.65
  5. Step 5: Solve for x
    x = 75,046.65/126.83
  6. Step 6: Final answer
    x = 591.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.