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Finding the Third Proportional to 126,603 and 195,969

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Solution

The third proportional to 126,603 and 195,969 is: 303,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,603 : 195,969 = 195,969 : x
  2. Step 2: Convert to fraction form
    126,603/195,969 = 195,969/x
  3. Step 3: Cross multiply
    126,603x = 195,969 × 195,969
  4. Step 4: Simplify right side
    126,603x = 38,403,848,961
  5. Step 5: Solve for x
    x = 38,403,848,961/126,603
  6. Step 6: Final answer
    x = 303,340.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.