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Finding the Third Proportional to 122,632.50 and 189,960.75

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Solution

The third proportional to 122,632.50 and 189,960.75 is: 294,253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,632.50 : 189,960.75 = 189,960.75 : x
  2. Step 2: Convert to fraction form
    122,632.50/189,960.75 = 189,960.75/x
  3. Step 3: Cross multiply
    122,632.50x = 189,960.75 × 189,960.75
  4. Step 4: Simplify right side
    122,632.50x = 36,085,086,540.56
  5. Step 5: Solve for x
    x = 36,085,086,540.56/122,632.50
  6. Step 6: Final answer
    x = 294,253.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.