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Finding the Third Proportional to 50,794 and 77,481

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Solution

The third proportional to 50,794 and 77,481 is: 118,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,794 : 77,481 = 77,481 : x
  2. Step 2: Convert to fraction form
    50,794/77,481 = 77,481/x
  3. Step 3: Cross multiply
    50,794x = 77,481 × 77,481
  4. Step 4: Simplify right side
    50,794x = 6,003,305,361
  5. Step 5: Solve for x
    x = 6,003,305,361/50,794
  6. Step 6: Final answer
    x = 118,189.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.