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Finding the Third Proportional to 47,325 and 104,496

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Solution

The third proportional to 47,325 and 104,496 is: 230,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,325 : 104,496 = 104,496 : x
  2. Step 2: Convert to fraction form
    47,325/104,496 = 104,496/x
  3. Step 3: Cross multiply
    47,325x = 104,496 × 104,496
  4. Step 4: Simplify right side
    47,325x = 10,919,414,016
  5. Step 5: Solve for x
    x = 10,919,414,016/47,325
  6. Step 6: Final answer
    x = 230,732.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.