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Finding the Third Proportional to 51.26 and 110.74

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Solution

The third proportional to 51.26 and 110.74 is: 239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.26 : 110.74 = 110.74 : x
  2. Step 2: Convert to fraction form
    51.26/110.74 = 110.74/x
  3. Step 3: Cross multiply
    51.26x = 110.74 × 110.74
  4. Step 4: Simplify right side
    51.26x = 12,263.83
  5. Step 5: Solve for x
    x = 12,263.83/51.26
  6. Step 6: Final answer
    x = 239.26

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