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Finding the Third Proportional to 50,979 and 109,770

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Solution

The third proportional to 50,979 and 109,770 is: 236,361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,979 : 109,770 = 109,770 : x
  2. Step 2: Convert to fraction form
    50,979/109,770 = 109,770/x
  3. Step 3: Cross multiply
    50,979x = 109,770 × 109,770
  4. Step 4: Simplify right side
    50,979x = 12,049,452,900
  5. Step 5: Solve for x
    x = 12,049,452,900/50,979
  6. Step 6: Final answer
    x = 236,361.11

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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.