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Finding the Third Proportional to 122,925.94 and 189,847.97

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Solution

The third proportional to 122,925.94 and 189,847.97 is: 293,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,925.94 : 189,847.97 = 189,847.97 : x
  2. Step 2: Convert to fraction form
    122,925.94/189,847.97 = 189,847.97/x
  3. Step 3: Cross multiply
    122,925.94x = 189,847.97 × 189,847.97
  4. Step 4: Simplify right side
    122,925.94x = 36,042,251,238.50
  5. Step 5: Solve for x
    x = 36,042,251,238.50/122,925.94
  6. Step 6: Final answer
    x = 293,202.98

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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.