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Finding the Third Proportional to 67,632 and 106,092

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Solution

The third proportional to 67,632 and 106,092 is: 166,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,632 : 106,092 = 106,092 : x
  2. Step 2: Convert to fraction form
    67,632/106,092 = 106,092/x
  3. Step 3: Cross multiply
    67,632x = 106,092 × 106,092
  4. Step 4: Simplify right side
    67,632x = 11,255,512,464
  5. Step 5: Solve for x
    x = 11,255,512,464/67,632
  6. Step 6: Final answer
    x = 166,422.88

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.