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Finding the Third Proportional to 69.14 and 96.94

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Solution

The third proportional to 69.14 and 96.94 is: 135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.14 : 96.94 = 96.94 : x
  2. Step 2: Convert to fraction form
    69.14/96.94 = 96.94/x
  3. Step 3: Cross multiply
    69.14x = 96.94 × 96.94
  4. Step 4: Simplify right side
    69.14x = 9,396.88
  5. Step 5: Solve for x
    x = 9,396.88/69.14
  6. Step 6: Final answer
    x = 135.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.