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Finding the Third Proportional to 67,806 and 104,991

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Solution

The third proportional to 67,806 and 104,991 is: 162,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,806 : 104,991 = 104,991 : x
  2. Step 2: Convert to fraction form
    67,806/104,991 = 104,991/x
  3. Step 3: Cross multiply
    67,806x = 104,991 × 104,991
  4. Step 4: Simplify right side
    67,806x = 11,023,110,081
  5. Step 5: Solve for x
    x = 11,023,110,081/67,806
  6. Step 6: Final answer
    x = 162,568.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.