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Finding the Third Proportional to 69.56 and 103.88

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Solution

The third proportional to 69.56 and 103.88 is: 155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.56 : 103.88 = 103.88 : x
  2. Step 2: Convert to fraction form
    69.56/103.88 = 103.88/x
  3. Step 3: Cross multiply
    69.56x = 103.88 × 103.88
  4. Step 4: Simplify right side
    69.56x = 10,790.02
  5. Step 5: Solve for x
    x = 10,790.02/69.56
  6. Step 6: Final answer
    x = 155.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.