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Finding the Third Proportional to 89,874 and 191,394

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Solution

The third proportional to 89,874 and 191,394 is: 407,589.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,874 : 191,394 = 191,394 : x
  2. Step 2: Convert to fraction form
    89,874/191,394 = 191,394/x
  3. Step 3: Cross multiply
    89,874x = 191,394 × 191,394
  4. Step 4: Simplify right side
    89,874x = 36,631,663,236
  5. Step 5: Solve for x
    x = 36,631,663,236/89,874
  6. Step 6: Final answer
    x = 407,589.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.