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Finding the Third Proportional to 106,869.38 and 166,773.94

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Solution

The third proportional to 106,869.38 and 166,773.94 is: 260,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,869.38 : 166,773.94 = 166,773.94 : x
  2. Step 2: Convert to fraction form
    106,869.38/166,773.94 = 166,773.94/x
  3. Step 3: Cross multiply
    106,869.38x = 166,773.94 × 166,773.94
  4. Step 4: Simplify right side
    106,869.38x = 27,813,546,229.25
  5. Step 5: Solve for x
    x = 27,813,546,229.25/106,869.38
  6. Step 6: Final answer
    x = 260,257.41

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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.