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Finding the Third Proportional to 106,852.88 and 166,107.94

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Solution

The third proportional to 106,852.88 and 166,107.94 is: 258,222.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,852.88 : 166,107.94 = 166,107.94 : x
  2. Step 2: Convert to fraction form
    106,852.88/166,107.94 = 166,107.94/x
  3. Step 3: Cross multiply
    106,852.88x = 166,107.94 × 166,107.94
  4. Step 4: Simplify right side
    106,852.88x = 27,591,846,900.50
  5. Step 5: Solve for x
    x = 27,591,846,900.50/106,852.88
  6. Step 6: Final answer
    x = 258,222.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.