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Finding the Third Proportional to 69,149.25 and 150,865

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Solution

The third proportional to 69,149.25 and 150,865 is: 329,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,149.25 : 150,865 = 150,865 : x
  2. Step 2: Convert to fraction form
    69,149.25/150,865 = 150,865/x
  3. Step 3: Cross multiply
    69,149.25x = 150,865 × 150,865
  4. Step 4: Simplify right side
    69,149.25x = 22,760,248,225
  5. Step 5: Solve for x
    x = 22,760,248,225/69,149.25
  6. Step 6: Final answer
    x = 329,146.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.