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Finding the Third Proportional to 95,442 and 203,523

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Solution

The third proportional to 95,442 and 203,523 is: 433,997.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,442 : 203,523 = 203,523 : x
  2. Step 2: Convert to fraction form
    95,442/203,523 = 203,523/x
  3. Step 3: Cross multiply
    95,442x = 203,523 × 203,523
  4. Step 4: Simplify right side
    95,442x = 41,421,611,529
  5. Step 5: Solve for x
    x = 41,421,611,529/95,442
  6. Step 6: Final answer
    x = 433,997.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.