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Finding the Third Proportional to 76,667.50 and 167,635

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Solution

The third proportional to 76,667.50 and 167,635 is: 366,537.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,667.50 : 167,635 = 167,635 : x
  2. Step 2: Convert to fraction form
    76,667.50/167,635 = 167,635/x
  3. Step 3: Cross multiply
    76,667.50x = 167,635 × 167,635
  4. Step 4: Simplify right side
    76,667.50x = 28,101,493,225
  5. Step 5: Solve for x
    x = 28,101,493,225/76,667.50
  6. Step 6: Final answer
    x = 366,537.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.