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Finding the Third Proportional to 89,968 and 192,394

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Solution

The third proportional to 89,968 and 192,394 is: 411,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,968 : 192,394 = 192,394 : x
  2. Step 2: Convert to fraction form
    89,968/192,394 = 192,394/x
  3. Step 3: Cross multiply
    89,968x = 192,394 × 192,394
  4. Step 4: Simplify right side
    89,968x = 37,015,451,236
  5. Step 5: Solve for x
    x = 37,015,451,236/89,968
  6. Step 6: Final answer
    x = 411,429.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.