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Finding the Third Proportional to 133,059 and 199,063

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Solution

The third proportional to 133,059 and 199,063 is: 297,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,059 : 199,063 = 199,063 : x
  2. Step 2: Convert to fraction form
    133,059/199,063 = 199,063/x
  3. Step 3: Cross multiply
    133,059x = 199,063 × 199,063
  4. Step 4: Simplify right side
    133,059x = 39,626,077,969
  5. Step 5: Solve for x
    x = 39,626,077,969/133,059
  6. Step 6: Final answer
    x = 297,808.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.