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Finding the Third Proportional to 82.25 and 195.13

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Solution

The third proportional to 82.25 and 195.13 is: 462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.25 : 195.13 = 195.13 : x
  2. Step 2: Convert to fraction form
    82.25/195.13 = 195.13/x
  3. Step 3: Cross multiply
    82.25x = 195.13 × 195.13
  4. Step 4: Simplify right side
    82.25x = 38,073.77
  5. Step 5: Solve for x
    x = 38,073.77/82.25
  6. Step 6: Final answer
    x = 462.90

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.