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Finding the Third Proportional to 82.94 and 119.97

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Solution

The third proportional to 82.94 and 119.97 is: 173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.94 : 119.97 = 119.97 : x
  2. Step 2: Convert to fraction form
    82.94/119.97 = 119.97/x
  3. Step 3: Cross multiply
    82.94x = 119.97 × 119.97
  4. Step 4: Simplify right side
    82.94x = 14,392.50
  5. Step 5: Solve for x
    x = 14,392.50/82.94
  6. Step 6: Final answer
    x = 173.53

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.