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Finding the Third Proportional to 48,462 and 103,836

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Solution

The third proportional to 48,462 and 103,836 is: 222,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,462 : 103,836 = 103,836 : x
  2. Step 2: Convert to fraction form
    48,462/103,836 = 103,836/x
  3. Step 3: Cross multiply
    48,462x = 103,836 × 103,836
  4. Step 4: Simplify right side
    48,462x = 10,781,914,896
  5. Step 5: Solve for x
    x = 10,781,914,896/48,462
  6. Step 6: Final answer
    x = 222,481.84

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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.