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Finding the Third Proportional to 51,976.88 and 111,947.44

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Solution

The third proportional to 51,976.88 and 111,947.44 is: 241,111.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,976.88 : 111,947.44 = 111,947.44 : x
  2. Step 2: Convert to fraction form
    51,976.88/111,947.44 = 111,947.44/x
  3. Step 3: Cross multiply
    51,976.88x = 111,947.44 × 111,947.44
  4. Step 4: Simplify right side
    51,976.88x = 12,532,228,762.82
  5. Step 5: Solve for x
    x = 12,532,228,762.82/51,976.88
  6. Step 6: Final answer
    x = 241,111.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.