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Finding the Third Proportional to 106,732.50 and 167,424.75

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Solution

The third proportional to 106,732.50 and 167,424.75 is: 262,628.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,732.50 : 167,424.75 = 167,424.75 : x
  2. Step 2: Convert to fraction form
    106,732.50/167,424.75 = 167,424.75/x
  3. Step 3: Cross multiply
    106,732.50x = 167,424.75 × 167,424.75
  4. Step 4: Simplify right side
    106,732.50x = 28,031,046,912.56
  5. Step 5: Solve for x
    x = 28,031,046,912.56/106,732.50
  6. Step 6: Final answer
    x = 262,628.97

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.