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Finding the Third Proportional to 85.13 and 97.69

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Solution

The third proportional to 85.13 and 97.69 is: 112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.13 : 97.69 = 97.69 : x
  2. Step 2: Convert to fraction form
    85.13/97.69 = 97.69/x
  3. Step 3: Cross multiply
    85.13x = 97.69 × 97.69
  4. Step 4: Simplify right side
    85.13x = 9,542.85
  5. Step 5: Solve for x
    x = 9,542.85/85.13
  6. Step 6: Final answer
    x = 112.10

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.