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Finding the Third Proportional to 71.75 and 107.75

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Solution

The third proportional to 71.75 and 107.75 is: 161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.75 : 107.75 = 107.75 : x
  2. Step 2: Convert to fraction form
    71.75/107.75 = 107.75/x
  3. Step 3: Cross multiply
    71.75x = 107.75 × 107.75
  4. Step 4: Simplify right side
    71.75x = 11,610.06
  5. Step 5: Solve for x
    x = 11,610.06/71.75
  6. Step 6: Final answer
    x = 161.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.