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Finding the Third Proportional to 95,756 and 203,032

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Solution

The third proportional to 95,756 and 203,032 is: 430,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,756 : 203,032 = 203,032 : x
  2. Step 2: Convert to fraction form
    95,756/203,032 = 203,032/x
  3. Step 3: Cross multiply
    95,756x = 203,032 × 203,032
  4. Step 4: Simplify right side
    95,756x = 41,221,993,024
  5. Step 5: Solve for x
    x = 41,221,993,024/95,756
  6. Step 6: Final answer
    x = 430,489.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.