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Finding the Third Proportional to 70,992 and 100,908

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Solution

The third proportional to 70,992 and 100,908 is: 143,430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,992 : 100,908 = 100,908 : x
  2. Step 2: Convert to fraction form
    70,992/100,908 = 100,908/x
  3. Step 3: Cross multiply
    70,992x = 100,908 × 100,908
  4. Step 4: Simplify right side
    70,992x = 10,182,424,464
  5. Step 5: Solve for x
    x = 10,182,424,464/70,992
  6. Step 6: Final answer
    x = 143,430.59

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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.