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Finding the Third Proportional to 51.44 and 114.31

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Solution

The third proportional to 51.44 and 114.31 is: 254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.44 : 114.31 = 114.31 : x
  2. Step 2: Convert to fraction form
    51.44/114.31 = 114.31/x
  3. Step 3: Cross multiply
    51.44x = 114.31 × 114.31
  4. Step 4: Simplify right side
    51.44x = 13,067.35
  5. Step 5: Solve for x
    x = 13,067.35/51.44
  6. Step 6: Final answer
    x = 254.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.