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Finding the Third Proportional to 122,380.88 and 189,129.94

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Solution

The third proportional to 122,380.88 and 189,129.94 is: 292,285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,380.88 : 189,129.94 = 189,129.94 : x
  2. Step 2: Convert to fraction form
    122,380.88/189,129.94 = 189,129.94/x
  3. Step 3: Cross multiply
    122,380.88x = 189,129.94 × 189,129.94
  4. Step 4: Simplify right side
    122,380.88x = 35,770,133,258.75
  5. Step 5: Solve for x
    x = 35,770,133,258.75/122,380.88
  6. Step 6: Final answer
    x = 292,285.32

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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.