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Finding the Third Proportional to 103.29 and 160.59

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Solution

The third proportional to 103.29 and 160.59 is: 249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.29 : 160.59 = 160.59 : x
  2. Step 2: Convert to fraction form
    103.29/160.59 = 160.59/x
  3. Step 3: Cross multiply
    103.29x = 160.59 × 160.59
  4. Step 4: Simplify right side
    103.29x = 25,790.35
  5. Step 5: Solve for x
    x = 25,790.35/103.29
  6. Step 6: Final answer
    x = 249.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.