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Finding the Third Proportional to 109 and 174.75

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Solution

The third proportional to 109 and 174.75 is: 280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109 : 174.75 = 174.75 : x
  2. Step 2: Convert to fraction form
    109/174.75 = 174.75/x
  3. Step 3: Cross multiply
    109x = 174.75 × 174.75
  4. Step 4: Simplify right side
    109x = 30,537.56
  5. Step 5: Solve for x
    x = 30,537.56/109
  6. Step 6: Final answer
    x = 280.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.