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Finding the Third Proportional to 50,170 and 108,000

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Solution

The third proportional to 50,170 and 108,000 is: 232,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,170 : 108,000 = 108,000 : x
  2. Step 2: Convert to fraction form
    50,170/108,000 = 108,000/x
  3. Step 3: Cross multiply
    50,170x = 108,000 × 108,000
  4. Step 4: Simplify right side
    50,170x = 11,664,000,000
  5. Step 5: Solve for x
    x = 11,664,000,000/50,170
  6. Step 6: Final answer
    x = 232,489.54

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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.