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Finding the Third Proportional to 82 and 146.75

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Solution

The third proportional to 82 and 146.75 is: 262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82 : 146.75 = 146.75 : x
  2. Step 2: Convert to fraction form
    82/146.75 = 146.75/x
  3. Step 3: Cross multiply
    82x = 146.75 × 146.75
  4. Step 4: Simplify right side
    82x = 21,535.56
  5. Step 5: Solve for x
    x = 21,535.56/82
  6. Step 6: Final answer
    x = 262.63

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.