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Finding the Third Proportional to 82,029.59 and 123,121.27

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Solution

The third proportional to 82,029.59 and 123,121.27 is: 184,797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,029.59 : 123,121.27 = 123,121.27 : x
  2. Step 2: Convert to fraction form
    82,029.59/123,121.27 = 123,121.27/x
  3. Step 3: Cross multiply
    82,029.59x = 123,121.27 × 123,121.27
  4. Step 4: Simplify right side
    82,029.59x = 15,158,846,049.10
  5. Step 5: Solve for x
    x = 15,158,846,049.10/82,029.59
  6. Step 6: Final answer
    x = 184,797.30

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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.