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Finding the Third Proportional to 123,234.75 and 181,932.75

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Solution

The third proportional to 123,234.75 and 181,932.75 is: 268,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,234.75 : 181,932.75 = 181,932.75 : x
  2. Step 2: Convert to fraction form
    123,234.75/181,932.75 = 181,932.75/x
  3. Step 3: Cross multiply
    123,234.75x = 181,932.75 × 181,932.75
  4. Step 4: Simplify right side
    123,234.75x = 33,099,525,522.56
  5. Step 5: Solve for x
    x = 33,099,525,522.56/123,234.75
  6. Step 6: Final answer
    x = 268,589.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.