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Finding the Third Proportional to 97.97 and 107.94

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Solution

The third proportional to 97.97 and 107.94 is: 118.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.97 : 107.94 = 107.94 : x
  2. Step 2: Convert to fraction form
    97.97/107.94 = 107.94/x
  3. Step 3: Cross multiply
    97.97x = 107.94 × 107.94
  4. Step 4: Simplify right side
    97.97x = 11,650.50
  5. Step 5: Solve for x
    x = 11,650.50/97.97
  6. Step 6: Final answer
    x = 118.92

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.