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Finding the Third Proportional to 100,131 and 203,025

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Solution

The third proportional to 100,131 and 203,025 is: 411,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,131 : 203,025 = 203,025 : x
  2. Step 2: Convert to fraction form
    100,131/203,025 = 203,025/x
  3. Step 3: Cross multiply
    100,131x = 203,025 × 203,025
  4. Step 4: Simplify right side
    100,131x = 41,219,150,625
  5. Step 5: Solve for x
    x = 41,219,150,625/100,131
  6. Step 6: Final answer
    x = 411,652.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.