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Finding the Third Proportional to 109.75 and 118

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Solution

The third proportional to 109.75 and 118 is: 126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.75 : 118 = 118 : x
  2. Step 2: Convert to fraction form
    109.75/118 = 118/x
  3. Step 3: Cross multiply
    109.75x = 118 × 118
  4. Step 4: Simplify right side
    109.75x = 13,924
  5. Step 5: Solve for x
    x = 13,924/109.75
  6. Step 6: Final answer
    x = 126.87

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.