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Finding the Third Proportional to 81.75 and 103.56

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Solution

The third proportional to 81.75 and 103.56 is: 131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.75 : 103.56 = 103.56 : x
  2. Step 2: Convert to fraction form
    81.75/103.56 = 103.56/x
  3. Step 3: Cross multiply
    81.75x = 103.56 × 103.56
  4. Step 4: Simplify right side
    81.75x = 10,725.19
  5. Step 5: Solve for x
    x = 10,725.19/81.75
  6. Step 6: Final answer
    x = 131.20

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.