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Finding the Third Proportional to 47,911.50 and 104,112

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Solution

The third proportional to 47,911.50 and 104,112 is: 226,236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,911.50 : 104,112 = 104,112 : x
  2. Step 2: Convert to fraction form
    47,911.50/104,112 = 104,112/x
  3. Step 3: Cross multiply
    47,911.50x = 104,112 × 104,112
  4. Step 4: Simplify right side
    47,911.50x = 10,839,308,544
  5. Step 5: Solve for x
    x = 10,839,308,544/47,911.50
  6. Step 6: Final answer
    x = 226,236.05

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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.