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Finding the Third Proportional to 51,798.22 and 73,112.94

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Solution

The third proportional to 51,798.22 and 73,112.94 is: 103,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,798.22 : 73,112.94 = 73,112.94 : x
  2. Step 2: Convert to fraction form
    51,798.22/73,112.94 = 73,112.94/x
  3. Step 3: Cross multiply
    51,798.22x = 73,112.94 × 73,112.94
  4. Step 4: Simplify right side
    51,798.22x = 5,345,501,629.88
  5. Step 5: Solve for x
    x = 5,345,501,629.88/51,798.22
  6. Step 6: Final answer
    x = 103,198.56

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.