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Finding the Third Proportional to 96,954 and 202,692

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Solution

The third proportional to 96,954 and 202,692 is: 423,747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,954 : 202,692 = 202,692 : x
  2. Step 2: Convert to fraction form
    96,954/202,692 = 202,692/x
  3. Step 3: Cross multiply
    96,954x = 202,692 × 202,692
  4. Step 4: Simplify right side
    96,954x = 41,084,046,864
  5. Step 5: Solve for x
    x = 41,084,046,864/96,954
  6. Step 6: Final answer
    x = 423,747.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.