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Finding the Third Proportional to 125,550 and 195,939

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Solution

The third proportional to 125,550 and 195,939 is: 305,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,550 : 195,939 = 195,939 : x
  2. Step 2: Convert to fraction form
    125,550/195,939 = 195,939/x
  3. Step 3: Cross multiply
    125,550x = 195,939 × 195,939
  4. Step 4: Simplify right side
    125,550x = 38,392,091,721
  5. Step 5: Solve for x
    x = 38,392,091,721/125,550
  6. Step 6: Final answer
    x = 305,791.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.