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Finding the Third Proportional to 51.50 and 111.44

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Solution

The third proportional to 51.50 and 111.44 is: 241.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.50 : 111.44 = 111.44 : x
  2. Step 2: Convert to fraction form
    51.50/111.44 = 111.44/x
  3. Step 3: Cross multiply
    51.50x = 111.44 × 111.44
  4. Step 4: Simplify right side
    51.50x = 12,418.32
  5. Step 5: Solve for x
    x = 12,418.32/51.50
  6. Step 6: Final answer
    x = 241.13

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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.