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Finding the Third Proportional to 64,027.50 and 134,799

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Solution

The third proportional to 64,027.50 and 134,799 is: 283,796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,027.50 : 134,799 = 134,799 : x
  2. Step 2: Convert to fraction form
    64,027.50/134,799 = 134,799/x
  3. Step 3: Cross multiply
    64,027.50x = 134,799 × 134,799
  4. Step 4: Simplify right side
    64,027.50x = 18,170,770,401
  5. Step 5: Solve for x
    x = 18,170,770,401/64,027.50
  6. Step 6: Final answer
    x = 283,796.34

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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.