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Finding the Third Proportional to 136,763 and 206,966

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Solution

The third proportional to 136,763 and 206,966 is: 313,205.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,763 : 206,966 = 206,966 : x
  2. Step 2: Convert to fraction form
    136,763/206,966 = 206,966/x
  3. Step 3: Cross multiply
    136,763x = 206,966 × 206,966
  4. Step 4: Simplify right side
    136,763x = 42,834,925,156
  5. Step 5: Solve for x
    x = 42,834,925,156/136,763
  6. Step 6: Final answer
    x = 313,205.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.