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Finding the Third Proportional to 47,836 and 104,286

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Solution

The third proportional to 47,836 and 104,286 is: 227,351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,836 : 104,286 = 104,286 : x
  2. Step 2: Convert to fraction form
    47,836/104,286 = 104,286/x
  3. Step 3: Cross multiply
    47,836x = 104,286 × 104,286
  4. Step 4: Simplify right side
    47,836x = 10,875,569,796
  5. Step 5: Solve for x
    x = 10,875,569,796/47,836
  6. Step 6: Final answer
    x = 227,351.15

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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.