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Finding the Third Proportional to 47,224.25 and 102,756

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Solution

The third proportional to 47,224.25 and 102,756 is: 223,588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,224.25 : 102,756 = 102,756 : x
  2. Step 2: Convert to fraction form
    47,224.25/102,756 = 102,756/x
  3. Step 3: Cross multiply
    47,224.25x = 102,756 × 102,756
  4. Step 4: Simplify right side
    47,224.25x = 10,558,795,536
  5. Step 5: Solve for x
    x = 10,558,795,536/47,224.25
  6. Step 6: Final answer
    x = 223,588.42

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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.