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Finding the Third Proportional to 69.29 and 143.96

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Solution

The third proportional to 69.29 and 143.96 is: 299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.29 : 143.96 = 143.96 : x
  2. Step 2: Convert to fraction form
    69.29/143.96 = 143.96/x
  3. Step 3: Cross multiply
    69.29x = 143.96 × 143.96
  4. Step 4: Simplify right side
    69.29x = 20,725.88
  5. Step 5: Solve for x
    x = 20,725.88/69.29
  6. Step 6: Final answer
    x = 299.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.