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Finding the Third Proportional to 106,869 and 166,774

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Solution

The third proportional to 106,869 and 166,774 is: 260,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,869 : 166,774 = 166,774 : x
  2. Step 2: Convert to fraction form
    106,869/166,774 = 166,774/x
  3. Step 3: Cross multiply
    106,869x = 166,774 × 166,774
  4. Step 4: Simplify right side
    106,869x = 27,813,567,076
  5. Step 5: Solve for x
    x = 27,813,567,076/106,869
  6. Step 6: Final answer
    x = 260,258.51

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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.