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Finding the Third Proportional to 109 and 160

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Solution

The third proportional to 109 and 160 is: 234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109 : 160 = 160 : x
  2. Step 2: Convert to fraction form
    109/160 = 160/x
  3. Step 3: Cross multiply
    109x = 160 × 160
  4. Step 4: Simplify right side
    109x = 25,600
  5. Step 5: Solve for x
    x = 25,600/109
  6. Step 6: Final answer
    x = 234.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.