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Finding the Third Proportional to 95,728 and 202,976

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Solution

The third proportional to 95,728 and 202,976 is: 430,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,728 : 202,976 = 202,976 : x
  2. Step 2: Convert to fraction form
    95,728/202,976 = 202,976/x
  3. Step 3: Cross multiply
    95,728x = 202,976 × 202,976
  4. Step 4: Simplify right side
    95,728x = 41,199,256,576
  5. Step 5: Solve for x
    x = 41,199,256,576/95,728
  6. Step 6: Final answer
    x = 430,378.33

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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.