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Finding the Third Proportional to 70,606 and 108,163.50

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Solution

The third proportional to 70,606 and 108,163.50 is: 165,698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,606 : 108,163.50 = 108,163.50 : x
  2. Step 2: Convert to fraction form
    70,606/108,163.50 = 108,163.50/x
  3. Step 3: Cross multiply
    70,606x = 108,163.50 × 108,163.50
  4. Step 4: Simplify right side
    70,606x = 11,699,342,732.25
  5. Step 5: Solve for x
    x = 11,699,342,732.25/70,606
  6. Step 6: Final answer
    x = 165,698.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.