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Finding the Third Proportional to 50,055 and 88,981

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Solution

The third proportional to 50,055 and 88,981 is: 158,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,055 : 88,981 = 88,981 : x
  2. Step 2: Convert to fraction form
    50,055/88,981 = 88,981/x
  3. Step 3: Cross multiply
    50,055x = 88,981 × 88,981
  4. Step 4: Simplify right side
    50,055x = 7,917,618,361
  5. Step 5: Solve for x
    x = 7,917,618,361/50,055
  6. Step 6: Final answer
    x = 158,178.37

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.