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Finding the Third Proportional to 71,954.58 and 107,940.41

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Solution

The third proportional to 71,954.58 and 107,940.41 is: 161,923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,954.58 : 107,940.41 = 107,940.41 : x
  2. Step 2: Convert to fraction form
    71,954.58/107,940.41 = 107,940.41/x
  3. Step 3: Cross multiply
    71,954.58x = 107,940.41 × 107,940.41
  4. Step 4: Simplify right side
    71,954.58x = 11,651,132,144.70
  5. Step 5: Solve for x
    x = 11,651,132,144.70/71,954.58
  6. Step 6: Final answer
    x = 161,923.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.