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Finding the Third Proportional to 69,882.75 and 150,830.44

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Solution

The third proportional to 69,882.75 and 150,830.44 is: 325,542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,882.75 : 150,830.44 = 150,830.44 : x
  2. Step 2: Convert to fraction form
    69,882.75/150,830.44 = 150,830.44/x
  3. Step 3: Cross multiply
    69,882.75x = 150,830.44 × 150,830.44
  4. Step 4: Simplify right side
    69,882.75x = 22,749,820,876.44
  5. Step 5: Solve for x
    x = 22,749,820,876.44/69,882.75
  6. Step 6: Final answer
    x = 325,542.73

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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.