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Finding the Third Proportional to 48,208 and 104,456

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Solution

The third proportional to 48,208 and 104,456 is: 226,332.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,208 : 104,456 = 104,456 : x
  2. Step 2: Convert to fraction form
    48,208/104,456 = 104,456/x
  3. Step 3: Cross multiply
    48,208x = 104,456 × 104,456
  4. Step 4: Simplify right side
    48,208x = 10,911,055,936
  5. Step 5: Solve for x
    x = 10,911,055,936/48,208
  6. Step 6: Final answer
    x = 226,332.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.