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Finding the Third Proportional to 51,802 and 79,991

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Solution

The third proportional to 51,802 and 79,991 is: 123,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,802 : 79,991 = 79,991 : x
  2. Step 2: Convert to fraction form
    51,802/79,991 = 79,991/x
  3. Step 3: Cross multiply
    51,802x = 79,991 × 79,991
  4. Step 4: Simplify right side
    51,802x = 6,398,560,081
  5. Step 5: Solve for x
    x = 6,398,560,081/51,802
  6. Step 6: Final answer
    x = 123,519.56

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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.