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Finding the Third Proportional to 62,298 and 140,193

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Solution

The third proportional to 62,298 and 140,193 is: 315,484.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,298 : 140,193 = 140,193 : x
  2. Step 2: Convert to fraction form
    62,298/140,193 = 140,193/x
  3. Step 3: Cross multiply
    62,298x = 140,193 × 140,193
  4. Step 4: Simplify right side
    62,298x = 19,654,077,249
  5. Step 5: Solve for x
    x = 19,654,077,249/62,298
  6. Step 6: Final answer
    x = 315,484.88

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.