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Finding the Third Proportional to 76,493 and 107,529

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Solution

The third proportional to 76,493 and 107,529 is: 151,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,493 : 107,529 = 107,529 : x
  2. Step 2: Convert to fraction form
    76,493/107,529 = 107,529/x
  3. Step 3: Cross multiply
    76,493x = 107,529 × 107,529
  4. Step 4: Simplify right side
    76,493x = 11,562,485,841
  5. Step 5: Solve for x
    x = 11,562,485,841/76,493
  6. Step 6: Final answer
    x = 151,157.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.