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Finding the Third Proportional to 122,168.25 and 197,133.75

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Solution

The third proportional to 122,168.25 and 197,133.75 is: 318,099.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,168.25 : 197,133.75 = 197,133.75 : x
  2. Step 2: Convert to fraction form
    122,168.25/197,133.75 = 197,133.75/x
  3. Step 3: Cross multiply
    122,168.25x = 197,133.75 × 197,133.75
  4. Step 4: Simplify right side
    122,168.25x = 38,861,715,389.06
  5. Step 5: Solve for x
    x = 38,861,715,389.06/122,168.25
  6. Step 6: Final answer
    x = 318,099.96

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.