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Finding the Third Proportional to 54 and 126

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Solution

The third proportional to 54 and 126 is: 294

Step by Step Solution

  1. Step 1: Write the proportion equation
    54 : 126 = 126 : x
  2. Step 2: Convert to fraction form
    54/126 = 126/x
  3. Step 3: Cross multiply
    54x = 126 × 126
  4. Step 4: Simplify right side
    54x = 15,876
  5. Step 5: Solve for x
    x = 15,876/54
  6. Step 6: Final answer
    x = 294

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.