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Finding the Third Proportional to 51,793 and 79,980

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Solution

The third proportional to 51,793 and 79,980 is: 123,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,793 : 79,980 = 79,980 : x
  2. Step 2: Convert to fraction form
    51,793/79,980 = 79,980/x
  3. Step 3: Cross multiply
    51,793x = 79,980 × 79,980
  4. Step 4: Simplify right side
    51,793x = 6,396,800,400
  5. Step 5: Solve for x
    x = 6,396,800,400/51,793
  6. Step 6: Final answer
    x = 123,507.05

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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.