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Finding the Third Proportional to 72,330 and 108,109

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Solution

The third proportional to 72,330 and 108,109 is: 161,586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,330 : 108,109 = 108,109 : x
  2. Step 2: Convert to fraction form
    72,330/108,109 = 108,109/x
  3. Step 3: Cross multiply
    72,330x = 108,109 × 108,109
  4. Step 4: Simplify right side
    72,330x = 11,687,555,881
  5. Step 5: Solve for x
    x = 11,687,555,881/72,330
  6. Step 6: Final answer
    x = 161,586.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.