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Finding the Third Proportional to 50,218 and 68,859.75

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Solution

The third proportional to 50,218 and 68,859.75 is: 94,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,218 : 68,859.75 = 68,859.75 : x
  2. Step 2: Convert to fraction form
    50,218/68,859.75 = 68,859.75/x
  3. Step 3: Cross multiply
    50,218x = 68,859.75 × 68,859.75
  4. Step 4: Simplify right side
    50,218x = 4,741,665,170.06
  5. Step 5: Solve for x
    x = 4,741,665,170.06/50,218
  6. Step 6: Final answer
    x = 94,421.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.