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Finding the Third Proportional to 67,965.75 and 104,514.19

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Solution

The third proportional to 67,965.75 and 104,514.19 is: 160,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,965.75 : 104,514.19 = 104,514.19 : x
  2. Step 2: Convert to fraction form
    67,965.75/104,514.19 = 104,514.19/x
  3. Step 3: Cross multiply
    67,965.75x = 104,514.19 × 104,514.19
  4. Step 4: Simplify right side
    67,965.75x = 10,923,215,388.79
  5. Step 5: Solve for x
    x = 10,923,215,388.79/67,965.75
  6. Step 6: Final answer
    x = 160,716.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.