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Finding the Third Proportional to 47,976 and 104,685

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Solution

The third proportional to 47,976 and 104,685 is: 228,425.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,976 : 104,685 = 104,685 : x
  2. Step 2: Convert to fraction form
    47,976/104,685 = 104,685/x
  3. Step 3: Cross multiply
    47,976x = 104,685 × 104,685
  4. Step 4: Simplify right side
    47,976x = 10,958,949,225
  5. Step 5: Solve for x
    x = 10,958,949,225/47,976
  6. Step 6: Final answer
    x = 228,425.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.