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Finding the Third Proportional to 61,193 and 82,351

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Solution

The third proportional to 61,193 and 82,351 is: 110,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,193 : 82,351 = 82,351 : x
  2. Step 2: Convert to fraction form
    61,193/82,351 = 82,351/x
  3. Step 3: Cross multiply
    61,193x = 82,351 × 82,351
  4. Step 4: Simplify right side
    61,193x = 6,781,687,201
  5. Step 5: Solve for x
    x = 6,781,687,201/61,193
  6. Step 6: Final answer
    x = 110,824.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.