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Finding the Third Proportional to 106,813.13 and 166,051.69

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Solution

The third proportional to 106,813.13 and 166,051.69 is: 258,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,813.13 : 166,051.69 = 166,051.69 : x
  2. Step 2: Convert to fraction form
    106,813.13/166,051.69 = 166,051.69/x
  3. Step 3: Cross multiply
    106,813.13x = 166,051.69 × 166,051.69
  4. Step 4: Simplify right side
    106,813.13x = 27,573,162,921.60
  5. Step 5: Solve for x
    x = 27,573,162,921.60/106,813.13
  6. Step 6: Final answer
    x = 258,143.96

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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.