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Finding the Third Proportional to 83.12 and 127.94

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Solution

The third proportional to 83.12 and 127.94 is: 196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.12 : 127.94 = 127.94 : x
  2. Step 2: Convert to fraction form
    83.12/127.94 = 127.94/x
  3. Step 3: Cross multiply
    83.12x = 127.94 × 127.94
  4. Step 4: Simplify right side
    83.12x = 16,369.75
  5. Step 5: Solve for x
    x = 16,369.75/83.12
  6. Step 6: Final answer
    x = 196.94

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.