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Finding the Third Proportional to 68,023.13 and 86,757.75

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Solution

The third proportional to 68,023.13 and 86,757.75 is: 110,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,023.13 : 86,757.75 = 86,757.75 : x
  2. Step 2: Convert to fraction form
    68,023.13/86,757.75 = 86,757.75/x
  3. Step 3: Cross multiply
    68,023.13x = 86,757.75 × 86,757.75
  4. Step 4: Simplify right side
    68,023.13x = 7,526,907,185.06
  5. Step 5: Solve for x
    x = 7,526,907,185.06/68,023.13
  6. Step 6: Final answer
    x = 110,652.18

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.