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Finding the Third Proportional to 50,608.50 and 80,418

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Solution

The third proportional to 50,608.50 and 80,418 is: 127,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,608.50 : 80,418 = 80,418 : x
  2. Step 2: Convert to fraction form
    50,608.50/80,418 = 80,418/x
  3. Step 3: Cross multiply
    50,608.50x = 80,418 × 80,418
  4. Step 4: Simplify right side
    50,608.50x = 6,467,054,724
  5. Step 5: Solve for x
    x = 6,467,054,724/50,608.50
  6. Step 6: Final answer
    x = 127,785.94

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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.