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Finding the Third Proportional to 131,682 and 200,763

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Solution

The third proportional to 131,682 and 200,763 is: 306,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,682 : 200,763 = 200,763 : x
  2. Step 2: Convert to fraction form
    131,682/200,763 = 200,763/x
  3. Step 3: Cross multiply
    131,682x = 200,763 × 200,763
  4. Step 4: Simplify right side
    131,682x = 40,305,782,169
  5. Step 5: Solve for x
    x = 40,305,782,169/131,682
  6. Step 6: Final answer
    x = 306,084.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.