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Finding the Third Proportional to 75,846.38 and 111,028.22

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Solution

The third proportional to 75,846.38 and 111,028.22 is: 162,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846.38 : 111,028.22 = 111,028.22 : x
  2. Step 2: Convert to fraction form
    75,846.38/111,028.22 = 111,028.22/x
  3. Step 3: Cross multiply
    75,846.38x = 111,028.22 × 111,028.22
  4. Step 4: Simplify right side
    75,846.38x = 12,327,265,358.80
  5. Step 5: Solve for x
    x = 12,327,265,358.80/75,846.38
  6. Step 6: Final answer
    x = 162,529.39

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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.