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Finding the Third Proportional to 69.33 and 145.41

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Solution

The third proportional to 69.33 and 145.41 is: 304.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.33 : 145.41 = 145.41 : x
  2. Step 2: Convert to fraction form
    69.33/145.41 = 145.41/x
  3. Step 3: Cross multiply
    69.33x = 145.41 × 145.41
  4. Step 4: Simplify right side
    69.33x = 21,142.98
  5. Step 5: Solve for x
    x = 21,142.98/69.33
  6. Step 6: Final answer
    x = 304.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.