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Finding the Third Proportional to 69.93 and 105.05

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Solution

The third proportional to 69.93 and 105.05 is: 157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.93 : 105.05 = 105.05 : x
  2. Step 2: Convert to fraction form
    69.93/105.05 = 105.05/x
  3. Step 3: Cross multiply
    69.93x = 105.05 × 105.05
  4. Step 4: Simplify right side
    69.93x = 11,034.85
  5. Step 5: Solve for x
    x = 11,034.85/69.93
  6. Step 6: Final answer
    x = 157.81

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Why These Related Problems?

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