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Finding the Third Proportional to 50,208 and 77,694

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Solution

The third proportional to 50,208 and 77,694 is: 120,227.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,208 : 77,694 = 77,694 : x
  2. Step 2: Convert to fraction form
    50,208/77,694 = 77,694/x
  3. Step 3: Cross multiply
    50,208x = 77,694 × 77,694
  4. Step 4: Simplify right side
    50,208x = 6,036,357,636
  5. Step 5: Solve for x
    x = 6,036,357,636/50,208
  6. Step 6: Final answer
    x = 120,227.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.