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Finding the Third Proportional to 73,204 and 158,000

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Solution

The third proportional to 73,204 and 158,000 is: 341,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,204 : 158,000 = 158,000 : x
  2. Step 2: Convert to fraction form
    73,204/158,000 = 158,000/x
  3. Step 3: Cross multiply
    73,204x = 158,000 × 158,000
  4. Step 4: Simplify right side
    73,204x = 24,964,000,000
  5. Step 5: Solve for x
    x = 24,964,000,000/73,204
  6. Step 6: Final answer
    x = 341,019.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.