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Finding the Third Proportional to 106,865 and 166,131

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Solution

The third proportional to 106,865 and 166,131 is: 258,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,865 : 166,131 = 166,131 : x
  2. Step 2: Convert to fraction form
    106,865/166,131 = 166,131/x
  3. Step 3: Cross multiply
    106,865x = 166,131 × 166,131
  4. Step 4: Simplify right side
    106,865x = 27,599,509,161
  5. Step 5: Solve for x
    x = 27,599,509,161/106,865
  6. Step 6: Final answer
    x = 258,265.19

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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.