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Finding the Third Proportional to 140,278 and 192,849

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Solution

The third proportional to 140,278 and 192,849 is: 265,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,278 : 192,849 = 192,849 : x
  2. Step 2: Convert to fraction form
    140,278/192,849 = 192,849/x
  3. Step 3: Cross multiply
    140,278x = 192,849 × 192,849
  4. Step 4: Simplify right side
    140,278x = 37,190,736,801
  5. Step 5: Solve for x
    x = 37,190,736,801/140,278
  6. Step 6: Final answer
    x = 265,121.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.