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Finding the Third Proportional to 51,930 and 80,194

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Solution

The third proportional to 51,930 and 80,194 is: 123,841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,930 : 80,194 = 80,194 : x
  2. Step 2: Convert to fraction form
    51,930/80,194 = 80,194/x
  3. Step 3: Cross multiply
    51,930x = 80,194 × 80,194
  4. Step 4: Simplify right side
    51,930x = 6,431,077,636
  5. Step 5: Solve for x
    x = 6,431,077,636/51,930
  6. Step 6: Final answer
    x = 123,841.28

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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.