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Finding the Third Proportional to 69,545.25 and 150,177.38

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Solution

The third proportional to 69,545.25 and 150,177.38 is: 324,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,545.25 : 150,177.38 = 150,177.38 : x
  2. Step 2: Convert to fraction form
    69,545.25/150,177.38 = 150,177.38/x
  3. Step 3: Cross multiply
    69,545.25x = 150,177.38 × 150,177.38
  4. Step 4: Simplify right side
    69,545.25x = 22,553,243,961.89
  5. Step 5: Solve for x
    x = 22,553,243,961.89/69,545.25
  6. Step 6: Final answer
    x = 324,295.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.