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Finding the Third Proportional to 73,878 and 100,449

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Solution

The third proportional to 73,878 and 100,449 is: 136,576.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,878 : 100,449 = 100,449 : x
  2. Step 2: Convert to fraction form
    73,878/100,449 = 100,449/x
  3. Step 3: Cross multiply
    73,878x = 100,449 × 100,449
  4. Step 4: Simplify right side
    73,878x = 10,090,001,601
  5. Step 5: Solve for x
    x = 10,090,001,601/73,878
  6. Step 6: Final answer
    x = 136,576.54

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.