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Finding the Third Proportional to 49.75 and 108.25

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Solution

The third proportional to 49.75 and 108.25 is: 235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.75 : 108.25 = 108.25 : x
  2. Step 2: Convert to fraction form
    49.75/108.25 = 108.25/x
  3. Step 3: Cross multiply
    49.75x = 108.25 × 108.25
  4. Step 4: Simplify right side
    49.75x = 11,718.06
  5. Step 5: Solve for x
    x = 11,718.06/49.75
  6. Step 6: Final answer
    x = 235.54

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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.