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Finding the Third Proportional to 96,972 and 205,682

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Solution

The third proportional to 96,972 and 205,682 is: 436,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,972 : 205,682 = 205,682 : x
  2. Step 2: Convert to fraction form
    96,972/205,682 = 205,682/x
  3. Step 3: Cross multiply
    96,972x = 205,682 × 205,682
  4. Step 4: Simplify right side
    96,972x = 42,305,085,124
  5. Step 5: Solve for x
    x = 42,305,085,124/96,972
  6. Step 6: Final answer
    x = 436,260.83

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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.