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Finding the Third Proportional to 82.92 and 195.14

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Solution

The third proportional to 82.92 and 195.14 is: 459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.92 : 195.14 = 195.14 : x
  2. Step 2: Convert to fraction form
    82.92/195.14 = 195.14/x
  3. Step 3: Cross multiply
    82.92x = 195.14 × 195.14
  4. Step 4: Simplify right side
    82.92x = 38,079.86
  5. Step 5: Solve for x
    x = 38,079.86/82.92
  6. Step 6: Final answer
    x = 459.23

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.