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Finding the Third Proportional to 75,451.50 and 110,099.25

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Solution

The third proportional to 75,451.50 and 110,099.25 is: 160,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,451.50 : 110,099.25 = 110,099.25 : x
  2. Step 2: Convert to fraction form
    75,451.50/110,099.25 = 110,099.25/x
  3. Step 3: Cross multiply
    75,451.50x = 110,099.25 × 110,099.25
  4. Step 4: Simplify right side
    75,451.50x = 12,121,844,850.56
  5. Step 5: Solve for x
    x = 12,121,844,850.56/75,451.50
  6. Step 6: Final answer
    x = 160,657.44

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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.