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Finding the Third Proportional to 123,529.50 and 167,796.75

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Solution

The third proportional to 123,529.50 and 167,796.75 is: 227,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,529.50 : 167,796.75 = 167,796.75 : x
  2. Step 2: Convert to fraction form
    123,529.50/167,796.75 = 167,796.75/x
  3. Step 3: Cross multiply
    123,529.50x = 167,796.75 × 167,796.75
  4. Step 4: Simplify right side
    123,529.50x = 28,155,749,310.56
  5. Step 5: Solve for x
    x = 28,155,749,310.56/123,529.50
  6. Step 6: Final answer
    x = 227,927.33

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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.