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Finding the Third Proportional to 133,813.75 and 181,644.75

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Solution

The third proportional to 133,813.75 and 181,644.75 is: 246,572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,813.75 : 181,644.75 = 181,644.75 : x
  2. Step 2: Convert to fraction form
    133,813.75/181,644.75 = 181,644.75/x
  3. Step 3: Cross multiply
    133,813.75x = 181,644.75 × 181,644.75
  4. Step 4: Simplify right side
    133,813.75x = 32,994,815,202.56
  5. Step 5: Solve for x
    x = 32,994,815,202.56/133,813.75
  6. Step 6: Final answer
    x = 246,572.68

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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.