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Finding the Third Proportional to 50,734 and 80,799

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Solution

The third proportional to 50,734 and 80,799 is: 128,680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,734 : 80,799 = 80,799 : x
  2. Step 2: Convert to fraction form
    50,734/80,799 = 80,799/x
  3. Step 3: Cross multiply
    50,734x = 80,799 × 80,799
  4. Step 4: Simplify right side
    50,734x = 6,528,478,401
  5. Step 5: Solve for x
    x = 6,528,478,401/50,734
  6. Step 6: Final answer
    x = 128,680.54

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.