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Finding the Third Proportional to 133,662 and 196,104

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Solution

The third proportional to 133,662 and 196,104 is: 287,716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,662 : 196,104 = 196,104 : x
  2. Step 2: Convert to fraction form
    133,662/196,104 = 196,104/x
  3. Step 3: Cross multiply
    133,662x = 196,104 × 196,104
  4. Step 4: Simplify right side
    133,662x = 38,456,778,816
  5. Step 5: Solve for x
    x = 38,456,778,816/133,662
  6. Step 6: Final answer
    x = 287,716.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.