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Finding the Third Proportional to 47,891.25 and 104,179.50

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Solution

The third proportional to 47,891.25 and 104,179.50 is: 226,625.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,891.25 : 104,179.50 = 104,179.50 : x
  2. Step 2: Convert to fraction form
    47,891.25/104,179.50 = 104,179.50/x
  3. Step 3: Cross multiply
    47,891.25x = 104,179.50 × 104,179.50
  4. Step 4: Simplify right side
    47,891.25x = 10,853,368,220.25
  5. Step 5: Solve for x
    x = 10,853,368,220.25/47,891.25
  6. Step 6: Final answer
    x = 226,625.29

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Why These Related Problems?

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