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Finding the Third Proportional to 52,001 and 111,394

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Solution

The third proportional to 52,001 and 111,394 is: 238,622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,001 : 111,394 = 111,394 : x
  2. Step 2: Convert to fraction form
    52,001/111,394 = 111,394/x
  3. Step 3: Cross multiply
    52,001x = 111,394 × 111,394
  4. Step 4: Simplify right side
    52,001x = 12,408,623,236
  5. Step 5: Solve for x
    x = 12,408,623,236/52,001
  6. Step 6: Final answer
    x = 238,622.78

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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.