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Finding the Third Proportional to 50,608 and 72,091.75

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Solution

The third proportional to 50,608 and 72,091.75 is: 102,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,608 : 72,091.75 = 72,091.75 : x
  2. Step 2: Convert to fraction form
    50,608/72,091.75 = 72,091.75/x
  3. Step 3: Cross multiply
    50,608x = 72,091.75 × 72,091.75
  4. Step 4: Simplify right side
    50,608x = 5,197,220,418.06
  5. Step 5: Solve for x
    x = 5,197,220,418.06/50,608
  6. Step 6: Final answer
    x = 102,695.63

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.