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Finding the Third Proportional to 101,759 and 149,695

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Solution

The third proportional to 101,759 and 149,695 is: 220,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,759 : 149,695 = 149,695 : x
  2. Step 2: Convert to fraction form
    101,759/149,695 = 149,695/x
  3. Step 3: Cross multiply
    101,759x = 149,695 × 149,695
  4. Step 4: Simplify right side
    101,759x = 22,408,593,025
  5. Step 5: Solve for x
    x = 22,408,593,025/101,759
  6. Step 6: Final answer
    x = 220,212.39

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.