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Finding the Third Proportional to 54.75 and 140.38

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Solution

The third proportional to 54.75 and 140.38 is: 359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.75 : 140.38 = 140.38 : x
  2. Step 2: Convert to fraction form
    54.75/140.38 = 140.38/x
  3. Step 3: Cross multiply
    54.75x = 140.38 × 140.38
  4. Step 4: Simplify right side
    54.75x = 19,705.14
  5. Step 5: Solve for x
    x = 19,705.14/54.75
  6. Step 6: Final answer
    x = 359.91

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.