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Finding the Third Proportional to 69.25 and 108.25

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Solution

The third proportional to 69.25 and 108.25 is: 169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.25 : 108.25 = 108.25 : x
  2. Step 2: Convert to fraction form
    69.25/108.25 = 108.25/x
  3. Step 3: Cross multiply
    69.25x = 108.25 × 108.25
  4. Step 4: Simplify right side
    69.25x = 11,718.06
  5. Step 5: Solve for x
    x = 11,718.06/69.25
  6. Step 6: Final answer
    x = 169.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.