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Finding the Third Proportional to 69.06 and 91.94

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Solution

The third proportional to 69.06 and 91.94 is: 122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.06 : 91.94 = 91.94 : x
  2. Step 2: Convert to fraction form
    69.06/91.94 = 91.94/x
  3. Step 3: Cross multiply
    69.06x = 91.94 × 91.94
  4. Step 4: Simplify right side
    69.06x = 8,452.50
  5. Step 5: Solve for x
    x = 8,452.50/69.06
  6. Step 6: Final answer
    x = 122.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.