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Finding the Third Proportional to 143,947.13 and 192,121.88

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Solution

The third proportional to 143,947.13 and 192,121.88 is: 256,419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,947.13 : 192,121.88 = 192,121.88 : x
  2. Step 2: Convert to fraction form
    143,947.13/192,121.88 = 192,121.88/x
  3. Step 3: Cross multiply
    143,947.13x = 192,121.88 × 192,121.88
  4. Step 4: Simplify right side
    143,947.13x = 36,910,814,853.52
  5. Step 5: Solve for x
    x = 36,910,814,853.52/143,947.13
  6. Step 6: Final answer
    x = 256,419.26

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.