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Finding the Third Proportional to 54.56 and 114.56

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Solution

The third proportional to 54.56 and 114.56 is: 240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.56 : 114.56 = 114.56 : x
  2. Step 2: Convert to fraction form
    54.56/114.56 = 114.56/x
  3. Step 3: Cross multiply
    54.56x = 114.56 × 114.56
  4. Step 4: Simplify right side
    54.56x = 13,124.57
  5. Step 5: Solve for x
    x = 13,124.57/54.56
  6. Step 6: Final answer
    x = 240.54

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.