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Finding the Third Proportional to 54.07 and 118.48

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Solution

The third proportional to 54.07 and 118.48 is: 259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.07 : 118.48 = 118.48 : x
  2. Step 2: Convert to fraction form
    54.07/118.48 = 118.48/x
  3. Step 3: Cross multiply
    54.07x = 118.48 × 118.48
  4. Step 4: Simplify right side
    54.07x = 14,036.70
  5. Step 5: Solve for x
    x = 14,036.70/54.07
  6. Step 6: Final answer
    x = 259.60

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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.