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Finding the Third Proportional to 69,849 and 150,771

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Solution

The third proportional to 69,849 and 150,771 is: 325,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,849 : 150,771 = 150,771 : x
  2. Step 2: Convert to fraction form
    69,849/150,771 = 150,771/x
  3. Step 3: Cross multiply
    69,849x = 150,771 × 150,771
  4. Step 4: Simplify right side
    69,849x = 22,731,894,441
  5. Step 5: Solve for x
    x = 22,731,894,441/69,849
  6. Step 6: Final answer
    x = 325,443.38

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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.