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Finding the Third Proportional to 50,920 and 109,675

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Solution

The third proportional to 50,920 and 109,675 is: 236,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,920 : 109,675 = 109,675 : x
  2. Step 2: Convert to fraction form
    50,920/109,675 = 109,675/x
  3. Step 3: Cross multiply
    50,920x = 109,675 × 109,675
  4. Step 4: Simplify right side
    50,920x = 12,028,605,625
  5. Step 5: Solve for x
    x = 12,028,605,625/50,920
  6. Step 6: Final answer
    x = 236,225.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.