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Finding the Third Proportional to 119,738.25 and 166,485.38

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Solution

The third proportional to 119,738.25 and 166,485.38 is: 231,483.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,738.25 : 166,485.38 = 166,485.38 : x
  2. Step 2: Convert to fraction form
    119,738.25/166,485.38 = 166,485.38/x
  3. Step 3: Cross multiply
    119,738.25x = 166,485.38 × 166,485.38
  4. Step 4: Simplify right side
    119,738.25x = 27,717,380,088.89
  5. Step 5: Solve for x
    x = 27,717,380,088.89/119,738.25
  6. Step 6: Final answer
    x = 231,483.09

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.