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Finding the Third Proportional to 109 and 119

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Solution

The third proportional to 109 and 119 is: 129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109 : 119 = 119 : x
  2. Step 2: Convert to fraction form
    109/119 = 119/x
  3. Step 3: Cross multiply
    109x = 119 × 119
  4. Step 4: Simplify right side
    109x = 14,161
  5. Step 5: Solve for x
    x = 14,161/109
  6. Step 6: Final answer
    x = 129.92

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.