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Finding the Third Proportional to 106,868.25 and 166,773.38

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Solution

The third proportional to 106,868.25 and 166,773.38 is: 260,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,868.25 : 166,773.38 = 166,773.38 : x
  2. Step 2: Convert to fraction form
    106,868.25/166,773.38 = 166,773.38/x
  3. Step 3: Cross multiply
    106,868.25x = 166,773.38 × 166,773.38
  4. Step 4: Simplify right side
    106,868.25x = 27,813,358,608.89
  5. Step 5: Solve for x
    x = 27,813,358,608.89/106,868.25
  6. Step 6: Final answer
    x = 260,258.39

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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.