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Finding the Third Proportional to 75,640.50 and 110,616.75

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Solution

The third proportional to 75,640.50 and 110,616.75 is: 161,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,640.50 : 110,616.75 = 110,616.75 : x
  2. Step 2: Convert to fraction form
    75,640.50/110,616.75 = 110,616.75/x
  3. Step 3: Cross multiply
    75,640.50x = 110,616.75 × 110,616.75
  4. Step 4: Simplify right side
    75,640.50x = 12,236,065,380.56
  5. Step 5: Solve for x
    x = 12,236,065,380.56/75,640.50
  6. Step 6: Final answer
    x = 161,766.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.