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Finding the Third Proportional to 69.05 and 103.78

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Solution

The third proportional to 69.05 and 103.78 is: 155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.05 : 103.78 = 103.78 : x
  2. Step 2: Convert to fraction form
    69.05/103.78 = 103.78/x
  3. Step 3: Cross multiply
    69.05x = 103.78 × 103.78
  4. Step 4: Simplify right side
    69.05x = 10,770.55
  5. Step 5: Solve for x
    x = 10,770.55/69.05
  6. Step 6: Final answer
    x = 155.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.