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Finding the Third Proportional to 48,225 and 104,469

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Solution

The third proportional to 48,225 and 104,469 is: 226,309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,225 : 104,469 = 104,469 : x
  2. Step 2: Convert to fraction form
    48,225/104,469 = 104,469/x
  3. Step 3: Cross multiply
    48,225x = 104,469 × 104,469
  4. Step 4: Simplify right side
    48,225x = 10,913,771,961
  5. Step 5: Solve for x
    x = 10,913,771,961/48,225
  6. Step 6: Final answer
    x = 226,309.42

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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.