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Finding the Third Proportional to 51,997.36 and 74,305.27

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Solution

The third proportional to 51,997.36 and 74,305.27 is: 106,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,997.36 : 74,305.27 = 74,305.27 : x
  2. Step 2: Convert to fraction form
    51,997.36/74,305.27 = 74,305.27/x
  3. Step 3: Cross multiply
    51,997.36x = 74,305.27 × 74,305.27
  4. Step 4: Simplify right side
    51,997.36x = 5,521,272,499.60
  5. Step 5: Solve for x
    x = 5,521,272,499.60/51,997.36
  6. Step 6: Final answer
    x = 106,183.71

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.