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Finding the Third Proportional to 37,864 and 78,193

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Solution

The third proportional to 37,864 and 78,193 is: 161,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,864 : 78,193 = 78,193 : x
  2. Step 2: Convert to fraction form
    37,864/78,193 = 78,193/x
  3. Step 3: Cross multiply
    37,864x = 78,193 × 78,193
  4. Step 4: Simplify right side
    37,864x = 6,114,145,249
  5. Step 5: Solve for x
    x = 6,114,145,249/37,864
  6. Step 6: Final answer
    x = 161,476.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.