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Finding the Third Proportional to 48,769 and 104,812

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Solution

The third proportional to 48,769 and 104,812 is: 225,256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,769 : 104,812 = 104,812 : x
  2. Step 2: Convert to fraction form
    48,769/104,812 = 104,812/x
  3. Step 3: Cross multiply
    48,769x = 104,812 × 104,812
  4. Step 4: Simplify right side
    48,769x = 10,985,555,344
  5. Step 5: Solve for x
    x = 10,985,555,344/48,769
  6. Step 6: Final answer
    x = 225,256.93

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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.