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Finding the Third Proportional to 67,954 and 97,881

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Solution

The third proportional to 67,954 and 97,881 is: 140,987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,954 : 97,881 = 97,881 : x
  2. Step 2: Convert to fraction form
    67,954/97,881 = 97,881/x
  3. Step 3: Cross multiply
    67,954x = 97,881 × 97,881
  4. Step 4: Simplify right side
    67,954x = 9,580,690,161
  5. Step 5: Solve for x
    x = 9,580,690,161/67,954
  6. Step 6: Final answer
    x = 140,987.88

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.