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Finding the Third Proportional to 60,216.75 and 131,161.78

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Solution

The third proportional to 60,216.75 and 131,161.78 is: 285,691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,216.75 : 131,161.78 = 131,161.78 : x
  2. Step 2: Convert to fraction form
    60,216.75/131,161.78 = 131,161.78/x
  3. Step 3: Cross multiply
    60,216.75x = 131,161.78 × 131,161.78
  4. Step 4: Simplify right side
    60,216.75x = 17,203,412,860.67
  5. Step 5: Solve for x
    x = 17,203,412,860.67/60,216.75
  6. Step 6: Final answer
    x = 285,691.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.