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Finding the Third Proportional to 126.07 and 271.83

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Solution

The third proportional to 126.07 and 271.83 is: 586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.07 : 271.83 = 271.83 : x
  2. Step 2: Convert to fraction form
    126.07/271.83 = 271.83/x
  3. Step 3: Cross multiply
    126.07x = 271.83 × 271.83
  4. Step 4: Simplify right side
    126.07x = 73,890.53
  5. Step 5: Solve for x
    x = 73,890.53/126.07
  6. Step 6: Final answer
    x = 586.11

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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.