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Finding the Third Proportional to 69,327.50 and 141,941

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Solution

The third proportional to 69,327.50 and 141,941 is: 290,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,327.50 : 141,941 = 141,941 : x
  2. Step 2: Convert to fraction form
    69,327.50/141,941 = 141,941/x
  3. Step 3: Cross multiply
    69,327.50x = 141,941 × 141,941
  4. Step 4: Simplify right side
    69,327.50x = 20,147,247,481
  5. Step 5: Solve for x
    x = 20,147,247,481/69,327.50
  6. Step 6: Final answer
    x = 290,609.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.