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Finding the Third Proportional to 78,942 and 150,608

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Solution

The third proportional to 78,942 and 150,608 is: 287,334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,942 : 150,608 = 150,608 : x
  2. Step 2: Convert to fraction form
    78,942/150,608 = 150,608/x
  3. Step 3: Cross multiply
    78,942x = 150,608 × 150,608
  4. Step 4: Simplify right side
    78,942x = 22,682,769,664
  5. Step 5: Solve for x
    x = 22,682,769,664/78,942
  6. Step 6: Final answer
    x = 287,334.62

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.