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Finding the Third Proportional to 50,121 and 66,251

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Solution

The third proportional to 50,121 and 66,251 is: 87,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,121 : 66,251 = 66,251 : x
  2. Step 2: Convert to fraction form
    50,121/66,251 = 66,251/x
  3. Step 3: Cross multiply
    50,121x = 66,251 × 66,251
  4. Step 4: Simplify right side
    50,121x = 4,389,195,001
  5. Step 5: Solve for x
    x = 4,389,195,001/50,121
  6. Step 6: Final answer
    x = 87,571.98

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.