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Finding the Third Proportional to 107.94 and 169.56

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Solution

The third proportional to 107.94 and 169.56 is: 266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.94 : 169.56 = 169.56 : x
  2. Step 2: Convert to fraction form
    107.94/169.56 = 169.56/x
  3. Step 3: Cross multiply
    107.94x = 169.56 × 169.56
  4. Step 4: Simplify right side
    107.94x = 28,751.44
  5. Step 5: Solve for x
    x = 28,751.44/107.94
  6. Step 6: Final answer
    x = 266.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.