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Finding the Third Proportional to 105.75 and 170.44

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Solution

The third proportional to 105.75 and 170.44 is: 274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.75 : 170.44 = 170.44 : x
  2. Step 2: Convert to fraction form
    105.75/170.44 = 170.44/x
  3. Step 3: Cross multiply
    105.75x = 170.44 × 170.44
  4. Step 4: Simplify right side
    105.75x = 29,048.94
  5. Step 5: Solve for x
    x = 29,048.94/105.75
  6. Step 6: Final answer
    x = 274.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.