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Finding the Third Proportional to 62,170.88 and 131,729.63

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Solution

The third proportional to 62,170.88 and 131,729.63 is: 279,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,170.88 : 131,729.63 = 131,729.63 : x
  2. Step 2: Convert to fraction form
    62,170.88/131,729.63 = 131,729.63/x
  3. Step 3: Cross multiply
    62,170.88x = 131,729.63 × 131,729.63
  4. Step 4: Simplify right side
    62,170.88x = 17,352,694,102.64
  5. Step 5: Solve for x
    x = 17,352,694,102.64/62,170.88
  6. Step 6: Final answer
    x = 279,112.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.