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Finding the Third Proportional to 77.44 and 105.19

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Solution

The third proportional to 77.44 and 105.19 is: 142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.44 : 105.19 = 105.19 : x
  2. Step 2: Convert to fraction form
    77.44/105.19 = 105.19/x
  3. Step 3: Cross multiply
    77.44x = 105.19 × 105.19
  4. Step 4: Simplify right side
    77.44x = 11,063.95
  5. Step 5: Solve for x
    x = 11,063.95/77.44
  6. Step 6: Final answer
    x = 142.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.