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Finding the Third Proportional to 71,082.56 and 106,912.41

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Solution

The third proportional to 71,082.56 and 106,912.41 is: 160,802.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,082.56 : 106,912.41 = 106,912.41 : x
  2. Step 2: Convert to fraction form
    71,082.56/106,912.41 = 106,912.41/x
  3. Step 3: Cross multiply
    71,082.56x = 106,912.41 × 106,912.41
  4. Step 4: Simplify right side
    71,082.56x = 11,430,262,610.17
  5. Step 5: Solve for x
    x = 11,430,262,610.17/71,082.56
  6. Step 6: Final answer
    x = 160,802.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.