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Finding the Third Proportional to 80,296 and 172,925

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Solution

The third proportional to 80,296 and 172,925 is: 372,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,296 : 172,925 = 172,925 : x
  2. Step 2: Convert to fraction form
    80,296/172,925 = 172,925/x
  3. Step 3: Cross multiply
    80,296x = 172,925 × 172,925
  4. Step 4: Simplify right side
    80,296x = 29,903,055,625
  5. Step 5: Solve for x
    x = 29,903,055,625/80,296
  6. Step 6: Final answer
    x = 372,410.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.