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Finding the Third Proportional to 137,791.50 and 195,029.25

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Solution

The third proportional to 137,791.50 and 195,029.25 is: 276,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,791.50 : 195,029.25 = 195,029.25 : x
  2. Step 2: Convert to fraction form
    137,791.50/195,029.25 = 195,029.25/x
  3. Step 3: Cross multiply
    137,791.50x = 195,029.25 × 195,029.25
  4. Step 4: Simplify right side
    137,791.50x = 38,036,408,355.56
  5. Step 5: Solve for x
    x = 38,036,408,355.56/137,791.50
  6. Step 6: Final answer
    x = 276,043.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.