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Finding the Third Proportional to 50,891 and 77,848

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Solution

The third proportional to 50,891 and 77,848 is: 119,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,891 : 77,848 = 77,848 : x
  2. Step 2: Convert to fraction form
    50,891/77,848 = 77,848/x
  3. Step 3: Cross multiply
    50,891x = 77,848 × 77,848
  4. Step 4: Simplify right side
    50,891x = 6,060,311,104
  5. Step 5: Solve for x
    x = 6,060,311,104/50,891
  6. Step 6: Final answer
    x = 119,084.14

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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.