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Finding the Third Proportional to 69.03 and 143.78

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Solution

The third proportional to 69.03 and 143.78 is: 299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.03 : 143.78 = 143.78 : x
  2. Step 2: Convert to fraction form
    69.03/143.78 = 143.78/x
  3. Step 3: Cross multiply
    69.03x = 143.78 × 143.78
  4. Step 4: Simplify right side
    69.03x = 20,673.05
  5. Step 5: Solve for x
    x = 20,673.05/69.03
  6. Step 6: Final answer
    x = 299.47

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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.