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Finding the Third Proportional to 107,069 and 166,735

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Solution

The third proportional to 107,069 and 166,735 is: 259,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,069 : 166,735 = 166,735 : x
  2. Step 2: Convert to fraction form
    107,069/166,735 = 166,735/x
  3. Step 3: Cross multiply
    107,069x = 166,735 × 166,735
  4. Step 4: Simplify right side
    107,069x = 27,800,560,225
  5. Step 5: Solve for x
    x = 27,800,560,225/107,069
  6. Step 6: Final answer
    x = 259,650.88

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Why These Related Problems?

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