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Finding the Third Proportional to 48,696 and 104,892.75

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Solution

The third proportional to 48,696 and 104,892.75 is: 225,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,696 : 104,892.75 = 104,892.75 : x
  2. Step 2: Convert to fraction form
    48,696/104,892.75 = 104,892.75/x
  3. Step 3: Cross multiply
    48,696x = 104,892.75 × 104,892.75
  4. Step 4: Simplify right side
    48,696x = 11,002,489,002.56
  5. Step 5: Solve for x
    x = 11,002,489,002.56/48,696
  6. Step 6: Final answer
    x = 225,942.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.