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Finding the Third Proportional to 129,954 and 195,891

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Solution

The third proportional to 129,954 and 195,891 is: 295,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,954 : 195,891 = 195,891 : x
  2. Step 2: Convert to fraction form
    129,954/195,891 = 195,891/x
  3. Step 3: Cross multiply
    129,954x = 195,891 × 195,891
  4. Step 4: Simplify right side
    129,954x = 38,373,283,881
  5. Step 5: Solve for x
    x = 38,373,283,881/129,954
  6. Step 6: Final answer
    x = 295,283.59

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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.