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Finding the Third Proportional to 144,188 and 192,872

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Solution

The third proportional to 144,188 and 192,872 is: 257,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,188 : 192,872 = 192,872 : x
  2. Step 2: Convert to fraction form
    144,188/192,872 = 192,872/x
  3. Step 3: Cross multiply
    144,188x = 192,872 × 192,872
  4. Step 4: Simplify right side
    144,188x = 37,199,608,384
  5. Step 5: Solve for x
    x = 37,199,608,384/144,188
  6. Step 6: Final answer
    x = 257,993.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.