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Finding the Third Proportional to 35,108 and 73,907

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Solution

The third proportional to 35,108 and 73,907 is: 155,584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,108 : 73,907 = 73,907 : x
  2. Step 2: Convert to fraction form
    35,108/73,907 = 73,907/x
  3. Step 3: Cross multiply
    35,108x = 73,907 × 73,907
  4. Step 4: Simplify right side
    35,108x = 5,462,244,649
  5. Step 5: Solve for x
    x = 5,462,244,649/35,108
  6. Step 6: Final answer
    x = 155,584.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.