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Finding the Third Proportional to 73,907 and 131,398

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Solution

The third proportional to 73,907 and 131,398 is: 233,610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,907 : 131,398 = 131,398 : x
  2. Step 2: Convert to fraction form
    73,907/131,398 = 131,398/x
  3. Step 3: Cross multiply
    73,907x = 131,398 × 131,398
  4. Step 4: Simplify right side
    73,907x = 17,265,434,404
  5. Step 5: Solve for x
    x = 17,265,434,404/73,907
  6. Step 6: Final answer
    x = 233,610.27

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.