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Finding the Third Proportional to 67,608 and 105,233

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Solution

The third proportional to 67,608 and 105,233 is: 163,796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,608 : 105,233 = 105,233 : x
  2. Step 2: Convert to fraction form
    67,608/105,233 = 105,233/x
  3. Step 3: Cross multiply
    67,608x = 105,233 × 105,233
  4. Step 4: Simplify right side
    67,608x = 11,073,984,289
  5. Step 5: Solve for x
    x = 11,073,984,289/67,608
  6. Step 6: Final answer
    x = 163,796.95

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.