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Finding the Third Proportional to 82 and 111.75

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Solution

The third proportional to 82 and 111.75 is: 152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82 : 111.75 = 111.75 : x
  2. Step 2: Convert to fraction form
    82/111.75 = 111.75/x
  3. Step 3: Cross multiply
    82x = 111.75 × 111.75
  4. Step 4: Simplify right side
    82x = 12,488.06
  5. Step 5: Solve for x
    x = 12,488.06/82
  6. Step 6: Final answer
    x = 152.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.