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Finding the Third Proportional to 54.50 and 118.75

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Solution

The third proportional to 54.50 and 118.75 is: 258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.50 : 118.75 = 118.75 : x
  2. Step 2: Convert to fraction form
    54.50/118.75 = 118.75/x
  3. Step 3: Cross multiply
    54.50x = 118.75 × 118.75
  4. Step 4: Simplify right side
    54.50x = 14,101.56
  5. Step 5: Solve for x
    x = 14,101.56/54.50
  6. Step 6: Final answer
    x = 258.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.