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Finding the Third Proportional to 69.13 and 103.69

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Solution

The third proportional to 69.13 and 103.69 is: 155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.13 : 103.69 = 103.69 : x
  2. Step 2: Convert to fraction form
    69.13/103.69 = 103.69/x
  3. Step 3: Cross multiply
    69.13x = 103.69 × 103.69
  4. Step 4: Simplify right side
    69.13x = 10,751.10
  5. Step 5: Solve for x
    x = 10,751.10/69.13
  6. Step 6: Final answer
    x = 155.53

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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.