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Finding the Third Proportional to 47,640 and 104,680

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Solution

The third proportional to 47,640 and 104,680 is: 230,014.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,640 : 104,680 = 104,680 : x
  2. Step 2: Convert to fraction form
    47,640/104,680 = 104,680/x
  3. Step 3: Cross multiply
    47,640x = 104,680 × 104,680
  4. Step 4: Simplify right side
    47,640x = 10,957,902,400
  5. Step 5: Solve for x
    x = 10,957,902,400/47,640
  6. Step 6: Final answer
    x = 230,014.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.