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Finding the Third Proportional to 48,401 and 103,806

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Solution

The third proportional to 48,401 and 103,806 is: 222,633.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,401 : 103,806 = 103,806 : x
  2. Step 2: Convert to fraction form
    48,401/103,806 = 103,806/x
  3. Step 3: Cross multiply
    48,401x = 103,806 × 103,806
  4. Step 4: Simplify right side
    48,401x = 10,775,685,636
  5. Step 5: Solve for x
    x = 10,775,685,636/48,401
  6. Step 6: Final answer
    x = 222,633.53

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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.