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Finding the Third Proportional to 50,219 and 73,531

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Solution

The third proportional to 50,219 and 73,531 is: 107,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,219 : 73,531 = 73,531 : x
  2. Step 2: Convert to fraction form
    50,219/73,531 = 73,531/x
  3. Step 3: Cross multiply
    50,219x = 73,531 × 73,531
  4. Step 4: Simplify right side
    50,219x = 5,406,807,961
  5. Step 5: Solve for x
    x = 5,406,807,961/50,219
  6. Step 6: Final answer
    x = 107,664.59

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.