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Finding the Third Proportional to 140,259 and 212,067

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Solution

The third proportional to 140,259 and 212,067 is: 320,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,259 : 212,067 = 212,067 : x
  2. Step 2: Convert to fraction form
    140,259/212,067 = 212,067/x
  3. Step 3: Cross multiply
    140,259x = 212,067 × 212,067
  4. Step 4: Simplify right side
    140,259x = 44,972,412,489
  5. Step 5: Solve for x
    x = 44,972,412,489/140,259
  6. Step 6: Final answer
    x = 320,638.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.