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Finding the Third Proportional to 72,806 and 159,081

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Solution

The third proportional to 72,806 and 159,081 is: 347,591.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,806 : 159,081 = 159,081 : x
  2. Step 2: Convert to fraction form
    72,806/159,081 = 159,081/x
  3. Step 3: Cross multiply
    72,806x = 159,081 × 159,081
  4. Step 4: Simplify right side
    72,806x = 25,306,764,561
  5. Step 5: Solve for x
    x = 25,306,764,561/72,806
  6. Step 6: Final answer
    x = 347,591.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.