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Finding the Third Proportional to 48,399 and 104,212

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Solution

The third proportional to 48,399 and 104,212 is: 224,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,399 : 104,212 = 104,212 : x
  2. Step 2: Convert to fraction form
    48,399/104,212 = 104,212/x
  3. Step 3: Cross multiply
    48,399x = 104,212 × 104,212
  4. Step 4: Simplify right side
    48,399x = 10,860,140,944
  5. Step 5: Solve for x
    x = 10,860,140,944/48,399
  6. Step 6: Final answer
    x = 224,387.71

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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.