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Finding the Third Proportional to 133,910.81 and 181,662.75

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Solution

The third proportional to 133,910.81 and 181,662.75 is: 246,442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,910.81 : 181,662.75 = 181,662.75 : x
  2. Step 2: Convert to fraction form
    133,910.81/181,662.75 = 181,662.75/x
  3. Step 3: Cross multiply
    133,910.81x = 181,662.75 × 181,662.75
  4. Step 4: Simplify right side
    133,910.81x = 33,001,354,737.56
  5. Step 5: Solve for x
    x = 33,001,354,737.56/133,910.81
  6. Step 6: Final answer
    x = 246,442.79

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.