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Finding the Third Proportional to 47,834 and 104,282

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Solution

The third proportional to 47,834 and 104,282 is: 227,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,834 : 104,282 = 104,282 : x
  2. Step 2: Convert to fraction form
    47,834/104,282 = 104,282/x
  3. Step 3: Cross multiply
    47,834x = 104,282 × 104,282
  4. Step 4: Simplify right side
    47,834x = 10,874,735,524
  5. Step 5: Solve for x
    x = 10,874,735,524/47,834
  6. Step 6: Final answer
    x = 227,343.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.