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Finding the Third Proportional to 122,757.19 and 189,198.94

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Solution

The third proportional to 122,757.19 and 189,198.94 is: 291,601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,757.19 : 189,198.94 = 189,198.94 : x
  2. Step 2: Convert to fraction form
    122,757.19/189,198.94 = 189,198.94/x
  3. Step 3: Cross multiply
    122,757.19x = 189,198.94 × 189,198.94
  4. Step 4: Simplify right side
    122,757.19x = 35,796,237,951.13
  5. Step 5: Solve for x
    x = 35,796,237,951.13/122,757.19
  6. Step 6: Final answer
    x = 291,601.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.