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Finding the Third Proportional to 50,914 and 74,899

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Solution

The third proportional to 50,914 and 74,899 is: 110,183.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,914 : 74,899 = 74,899 : x
  2. Step 2: Convert to fraction form
    50,914/74,899 = 74,899/x
  3. Step 3: Cross multiply
    50,914x = 74,899 × 74,899
  4. Step 4: Simplify right side
    50,914x = 5,609,860,201
  5. Step 5: Solve for x
    x = 5,609,860,201/50,914
  6. Step 6: Final answer
    x = 110,183.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.