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Finding the Third Proportional to 80,847 and 174,600

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Solution

The third proportional to 80,847 and 174,600 is: 377,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,847 : 174,600 = 174,600 : x
  2. Step 2: Convert to fraction form
    80,847/174,600 = 174,600/x
  3. Step 3: Cross multiply
    80,847x = 174,600 × 174,600
  4. Step 4: Simplify right side
    80,847x = 30,485,160,000
  5. Step 5: Solve for x
    x = 30,485,160,000/80,847
  6. Step 6: Final answer
    x = 377,072.25

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Why These Related Problems?

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