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Finding the Third Proportional to 54.42 and 119.29

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Solution

The third proportional to 54.42 and 119.29 is: 261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.42 : 119.29 = 119.29 : x
  2. Step 2: Convert to fraction form
    54.42/119.29 = 119.29/x
  3. Step 3: Cross multiply
    54.42x = 119.29 × 119.29
  4. Step 4: Simplify right side
    54.42x = 14,228.95
  5. Step 5: Solve for x
    x = 14,228.95/54.42
  6. Step 6: Final answer
    x = 261.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.