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Finding the Third Proportional to 49.75 and 107.25

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Solution

The third proportional to 49.75 and 107.25 is: 231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.75 : 107.25 = 107.25 : x
  2. Step 2: Convert to fraction form
    49.75/107.25 = 107.25/x
  3. Step 3: Cross multiply
    49.75x = 107.25 × 107.25
  4. Step 4: Simplify right side
    49.75x = 11,502.56
  5. Step 5: Solve for x
    x = 11,502.56/49.75
  6. Step 6: Final answer
    x = 231.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.