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Finding the Third Proportional to 50,872 and 77,819

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Solution

The third proportional to 50,872 and 77,819 is: 119,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,872 : 77,819 = 77,819 : x
  2. Step 2: Convert to fraction form
    50,872/77,819 = 77,819/x
  3. Step 3: Cross multiply
    50,872x = 77,819 × 77,819
  4. Step 4: Simplify right side
    50,872x = 6,055,796,761
  5. Step 5: Solve for x
    x = 6,055,796,761/50,872
  6. Step 6: Final answer
    x = 119,039.88

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