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Finding the Third Proportional to 70,174.50 and 108,027.75

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Solution

The third proportional to 70,174.50 and 108,027.75 is: 166,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,174.50 : 108,027.75 = 108,027.75 : x
  2. Step 2: Convert to fraction form
    70,174.50/108,027.75 = 108,027.75/x
  3. Step 3: Cross multiply
    70,174.50x = 108,027.75 × 108,027.75
  4. Step 4: Simplify right side
    70,174.50x = 11,669,994,770.06
  5. Step 5: Solve for x
    x = 11,669,994,770.06/70,174.50
  6. Step 6: Final answer
    x = 166,299.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.