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Finding the Third Proportional to 84,612 and 188,134

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Solution

The third proportional to 84,612 and 188,134 is: 418,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,612 : 188,134 = 188,134 : x
  2. Step 2: Convert to fraction form
    84,612/188,134 = 188,134/x
  3. Step 3: Cross multiply
    84,612x = 188,134 × 188,134
  4. Step 4: Simplify right side
    84,612x = 35,394,401,956
  5. Step 5: Solve for x
    x = 35,394,401,956/84,612
  6. Step 6: Final answer
    x = 418,314.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.