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Finding the Third Proportional to 70,869.75 and 108,744.75

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Solution

The third proportional to 70,869.75 and 108,744.75 is: 166,861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,869.75 : 108,744.75 = 108,744.75 : x
  2. Step 2: Convert to fraction form
    70,869.75/108,744.75 = 108,744.75/x
  3. Step 3: Cross multiply
    70,869.75x = 108,744.75 × 108,744.75
  4. Step 4: Simplify right side
    70,869.75x = 11,825,420,652.56
  5. Step 5: Solve for x
    x = 11,825,420,652.56/70,869.75
  6. Step 6: Final answer
    x = 166,861.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.