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Finding the Third Proportional to 50,808 and 67,872

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Solution

The third proportional to 50,808 and 67,872 is: 90,666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,808 : 67,872 = 67,872 : x
  2. Step 2: Convert to fraction form
    50,808/67,872 = 67,872/x
  3. Step 3: Cross multiply
    50,808x = 67,872 × 67,872
  4. Step 4: Simplify right side
    50,808x = 4,606,608,384
  5. Step 5: Solve for x
    x = 4,606,608,384/50,808
  6. Step 6: Final answer
    x = 90,666.99

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.