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Finding the Third Proportional to 51.75 and 126

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Solution

The third proportional to 51.75 and 126 is: 306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.75 : 126 = 126 : x
  2. Step 2: Convert to fraction form
    51.75/126 = 126/x
  3. Step 3: Cross multiply
    51.75x = 126 × 126
  4. Step 4: Simplify right side
    51.75x = 15,876
  5. Step 5: Solve for x
    x = 15,876/51.75
  6. Step 6: Final answer
    x = 306.78

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.