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Finding the Third Proportional to 106,858.50 and 166,116.75

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Solution

The third proportional to 106,858.50 and 166,116.75 is: 258,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,858.50 : 166,116.75 = 166,116.75 : x
  2. Step 2: Convert to fraction form
    106,858.50/166,116.75 = 166,116.75/x
  3. Step 3: Cross multiply
    106,858.50x = 166,116.75 × 166,116.75
  4. Step 4: Simplify right side
    106,858.50x = 27,594,774,630.56
  5. Step 5: Solve for x
    x = 27,594,774,630.56/106,858.50
  6. Step 6: Final answer
    x = 258,236.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.