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Finding the Third Proportional to 89,425 and 186,193

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Solution

The third proportional to 89,425 and 186,193 is: 387,674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,425 : 186,193 = 186,193 : x
  2. Step 2: Convert to fraction form
    89,425/186,193 = 186,193/x
  3. Step 3: Cross multiply
    89,425x = 186,193 × 186,193
  4. Step 4: Simplify right side
    89,425x = 34,667,833,249
  5. Step 5: Solve for x
    x = 34,667,833,249/89,425
  6. Step 6: Final answer
    x = 387,674.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.