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Finding the Third Proportional to 70,665 and 106,149

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Solution

The third proportional to 70,665 and 106,149 is: 159,451.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,665 : 106,149 = 106,149 : x
  2. Step 2: Convert to fraction form
    70,665/106,149 = 106,149/x
  3. Step 3: Cross multiply
    70,665x = 106,149 × 106,149
  4. Step 4: Simplify right side
    70,665x = 11,267,610,201
  5. Step 5: Solve for x
    x = 11,267,610,201/70,665
  6. Step 6: Final answer
    x = 159,451.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.