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Finding the Third Proportional to 48,086 and 104,912

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Solution

The third proportional to 48,086 and 104,912 is: 228,892.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,086 : 104,912 = 104,912 : x
  2. Step 2: Convert to fraction form
    48,086/104,912 = 104,912/x
  3. Step 3: Cross multiply
    48,086x = 104,912 × 104,912
  4. Step 4: Simplify right side
    48,086x = 11,006,527,744
  5. Step 5: Solve for x
    x = 11,006,527,744/48,086
  6. Step 6: Final answer
    x = 228,892.56

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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.