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Finding the Third Proportional to 133,854.50 and 178,452.75

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Solution

The third proportional to 133,854.50 and 178,452.75 is: 237,910.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,854.50 : 178,452.75 = 178,452.75 : x
  2. Step 2: Convert to fraction form
    133,854.50/178,452.75 = 178,452.75/x
  3. Step 3: Cross multiply
    133,854.50x = 178,452.75 × 178,452.75
  4. Step 4: Simplify right side
    133,854.50x = 31,845,383,982.56
  5. Step 5: Solve for x
    x = 31,845,383,982.56/133,854.50
  6. Step 6: Final answer
    x = 237,910.45

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.