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Finding the Third Proportional to 50,386 and 109,982

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Solution

The third proportional to 50,386 and 109,982 is: 240,067.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,386 : 109,982 = 109,982 : x
  2. Step 2: Convert to fraction form
    50,386/109,982 = 109,982/x
  3. Step 3: Cross multiply
    50,386x = 109,982 × 109,982
  4. Step 4: Simplify right side
    50,386x = 12,096,040,324
  5. Step 5: Solve for x
    x = 12,096,040,324/50,386
  6. Step 6: Final answer
    x = 240,067.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.