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Finding the Third Proportional to 90,197 and 142,817

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Solution

The third proportional to 90,197 and 142,817 is: 226,134.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,197 : 142,817 = 142,817 : x
  2. Step 2: Convert to fraction form
    90,197/142,817 = 142,817/x
  3. Step 3: Cross multiply
    90,197x = 142,817 × 142,817
  4. Step 4: Simplify right side
    90,197x = 20,396,695,489
  5. Step 5: Solve for x
    x = 20,396,695,489/90,197
  6. Step 6: Final answer
    x = 226,134.97

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.