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Finding the Third Proportional to 135,717.75 and 178,467.75

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Solution

The third proportional to 135,717.75 and 178,467.75 is: 234,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,717.75 : 178,467.75 = 178,467.75 : x
  2. Step 2: Convert to fraction form
    135,717.75/178,467.75 = 178,467.75/x
  3. Step 3: Cross multiply
    135,717.75x = 178,467.75 × 178,467.75
  4. Step 4: Simplify right side
    135,717.75x = 31,850,737,790.06
  5. Step 5: Solve for x
    x = 31,850,737,790.06/135,717.75
  6. Step 6: Final answer
    x = 234,683.66

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.