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Finding the Third Proportional to 65,880 and 150,849

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Solution

The third proportional to 65,880 and 150,849 is: 345,407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,880 : 150,849 = 150,849 : x
  2. Step 2: Convert to fraction form
    65,880/150,849 = 150,849/x
  3. Step 3: Cross multiply
    65,880x = 150,849 × 150,849
  4. Step 4: Simplify right side
    65,880x = 22,755,420,801
  5. Step 5: Solve for x
    x = 22,755,420,801/65,880
  6. Step 6: Final answer
    x = 345,407.12

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.