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Finding the Third Proportional to 90,082 and 140,110

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Solution

The third proportional to 90,082 and 140,110 is: 217,921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,082 : 140,110 = 140,110 : x
  2. Step 2: Convert to fraction form
    90,082/140,110 = 140,110/x
  3. Step 3: Cross multiply
    90,082x = 140,110 × 140,110
  4. Step 4: Simplify right side
    90,082x = 19,630,812,100
  5. Step 5: Solve for x
    x = 19,630,812,100/90,082
  6. Step 6: Final answer
    x = 217,921.58

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.