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Finding the Third Proportional to 48,606 and 104,799

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Solution

The third proportional to 48,606 and 104,799 is: 225,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,606 : 104,799 = 104,799 : x
  2. Step 2: Convert to fraction form
    48,606/104,799 = 104,799/x
  3. Step 3: Cross multiply
    48,606x = 104,799 × 104,799
  4. Step 4: Simplify right side
    48,606x = 10,982,830,401
  5. Step 5: Solve for x
    x = 10,982,830,401/48,606
  6. Step 6: Final answer
    x = 225,956.27

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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.