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Finding the Third Proportional to 54.56 and 120.94

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Solution

The third proportional to 54.56 and 120.94 is: 268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.56 : 120.94 = 120.94 : x
  2. Step 2: Convert to fraction form
    54.56/120.94 = 120.94/x
  3. Step 3: Cross multiply
    54.56x = 120.94 × 120.94
  4. Step 4: Simplify right side
    54.56x = 14,625.88
  5. Step 5: Solve for x
    x = 14,625.88/54.56
  6. Step 6: Final answer
    x = 268.06

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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.