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Finding the Third Proportional to 77.75 and 113.69

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Solution

The third proportional to 77.75 and 113.69 is: 166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.75 : 113.69 = 113.69 : x
  2. Step 2: Convert to fraction form
    77.75/113.69 = 113.69/x
  3. Step 3: Cross multiply
    77.75x = 113.69 × 113.69
  4. Step 4: Simplify right side
    77.75x = 12,924.85
  5. Step 5: Solve for x
    x = 12,924.85/77.75
  6. Step 6: Final answer
    x = 166.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.