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Finding the Third Proportional to 50,262 and 73,893

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Solution

The third proportional to 50,262 and 73,893 is: 108,634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,262 : 73,893 = 73,893 : x
  2. Step 2: Convert to fraction form
    50,262/73,893 = 73,893/x
  3. Step 3: Cross multiply
    50,262x = 73,893 × 73,893
  4. Step 4: Simplify right side
    50,262x = 5,460,175,449
  5. Step 5: Solve for x
    x = 5,460,175,449/50,262
  6. Step 6: Final answer
    x = 108,634.27

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