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Finding the Third Proportional to 48,589 and 104,834

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Solution

The third proportional to 48,589 and 104,834 is: 226,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,589 : 104,834 = 104,834 : x
  2. Step 2: Convert to fraction form
    48,589/104,834 = 104,834/x
  3. Step 3: Cross multiply
    48,589x = 104,834 × 104,834
  4. Step 4: Simplify right side
    48,589x = 10,990,167,556
  5. Step 5: Solve for x
    x = 10,990,167,556/48,589
  6. Step 6: Final answer
    x = 226,186.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.