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Finding the Third Proportional to 50,982 and 108,150

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Solution

The third proportional to 50,982 and 108,150 is: 229,422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,982 : 108,150 = 108,150 : x
  2. Step 2: Convert to fraction form
    50,982/108,150 = 108,150/x
  3. Step 3: Cross multiply
    50,982x = 108,150 × 108,150
  4. Step 4: Simplify right side
    50,982x = 11,696,422,500
  5. Step 5: Solve for x
    x = 11,696,422,500/50,982
  6. Step 6: Final answer
    x = 229,422.59

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.