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Finding the Third Proportional to 77.43 and 110.09

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Solution

The third proportional to 77.43 and 110.09 is: 156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.43 : 110.09 = 110.09 : x
  2. Step 2: Convert to fraction form
    77.43/110.09 = 110.09/x
  3. Step 3: Cross multiply
    77.43x = 110.09 × 110.09
  4. Step 4: Simplify right side
    77.43x = 12,120.81
  5. Step 5: Solve for x
    x = 12,120.81/77.43
  6. Step 6: Final answer
    x = 156.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.