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Finding the Third Proportional to 54.42 and 118.34

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Solution

The third proportional to 54.42 and 118.34 is: 257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.42 : 118.34 = 118.34 : x
  2. Step 2: Convert to fraction form
    54.42/118.34 = 118.34/x
  3. Step 3: Cross multiply
    54.42x = 118.34 × 118.34
  4. Step 4: Simplify right side
    54.42x = 14,003.39
  5. Step 5: Solve for x
    x = 14,003.39/54.42
  6. Step 6: Final answer
    x = 257.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.