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Finding the Third Proportional to 47,601 and 104,094

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Solution

The third proportional to 47,601 and 104,094 is: 227,633.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,601 : 104,094 = 104,094 : x
  2. Step 2: Convert to fraction form
    47,601/104,094 = 104,094/x
  3. Step 3: Cross multiply
    47,601x = 104,094 × 104,094
  4. Step 4: Simplify right side
    47,601x = 10,835,560,836
  5. Step 5: Solve for x
    x = 10,835,560,836/47,601
  6. Step 6: Final answer
    x = 227,633.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.