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Finding the Third Proportional to 80,250.75 and 120,125.53

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Solution

The third proportional to 80,250.75 and 120,125.53 is: 179,813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,250.75 : 120,125.53 = 120,125.53 : x
  2. Step 2: Convert to fraction form
    80,250.75/120,125.53 = 120,125.53/x
  3. Step 3: Cross multiply
    80,250.75x = 120,125.53 × 120,125.53
  4. Step 4: Simplify right side
    80,250.75x = 14,430,143,258.09
  5. Step 5: Solve for x
    x = 14,430,143,258.09/80,250.75
  6. Step 6: Final answer
    x = 179,813.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.