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Finding the Third Proportional to 42,722 and 91,759

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Solution

The third proportional to 42,722 and 91,759 is: 197,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,722 : 91,759 = 91,759 : x
  2. Step 2: Convert to fraction form
    42,722/91,759 = 91,759/x
  3. Step 3: Cross multiply
    42,722x = 91,759 × 91,759
  4. Step 4: Simplify right side
    42,722x = 8,419,714,081
  5. Step 5: Solve for x
    x = 8,419,714,081/42,722
  6. Step 6: Final answer
    x = 197,081.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.