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Finding the Third Proportional to 135,163 and 194,699

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Solution

The third proportional to 135,163 and 194,699 is: 280,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,163 : 194,699 = 194,699 : x
  2. Step 2: Convert to fraction form
    135,163/194,699 = 194,699/x
  3. Step 3: Cross multiply
    135,163x = 194,699 × 194,699
  4. Step 4: Simplify right side
    135,163x = 37,907,700,601
  5. Step 5: Solve for x
    x = 37,907,700,601/135,163
  6. Step 6: Final answer
    x = 280,459.15

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.