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Finding the Third Proportional to 48,399 and 104,211

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Solution

The third proportional to 48,399 and 104,211 is: 224,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,399 : 104,211 = 104,211 : x
  2. Step 2: Convert to fraction form
    48,399/104,211 = 104,211/x
  3. Step 3: Cross multiply
    48,399x = 104,211 × 104,211
  4. Step 4: Simplify right side
    48,399x = 10,859,932,521
  5. Step 5: Solve for x
    x = 10,859,932,521/48,399
  6. Step 6: Final answer
    x = 224,383.41

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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.