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Finding the Third Proportional to 55,102.36 and 82,439.96

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Solution

The third proportional to 55,102.36 and 82,439.96 is: 123,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,102.36 : 82,439.96 = 82,439.96 : x
  2. Step 2: Convert to fraction form
    55,102.36/82,439.96 = 82,439.96/x
  3. Step 3: Cross multiply
    55,102.36x = 82,439.96 × 82,439.96
  4. Step 4: Simplify right side
    55,102.36x = 6,796,347,803.44
  5. Step 5: Solve for x
    x = 6,796,347,803.44/55,102.36
  6. Step 6: Final answer
    x = 123,340.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.