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Finding the Third Proportional to 97.94 and 113.97

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Solution

The third proportional to 97.94 and 113.97 is: 132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.94 : 113.97 = 113.97 : x
  2. Step 2: Convert to fraction form
    97.94/113.97 = 113.97/x
  3. Step 3: Cross multiply
    97.94x = 113.97 × 113.97
  4. Step 4: Simplify right side
    97.94x = 12,988.88
  5. Step 5: Solve for x
    x = 12,988.88/97.94
  6. Step 6: Final answer
    x = 132.62

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.