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Finding the Third Proportional to 75,933 and 120,084

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Solution

The third proportional to 75,933 and 120,084 is: 189,906.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,933 : 120,084 = 120,084 : x
  2. Step 2: Convert to fraction form
    75,933/120,084 = 120,084/x
  3. Step 3: Cross multiply
    75,933x = 120,084 × 120,084
  4. Step 4: Simplify right side
    75,933x = 14,420,167,056
  5. Step 5: Solve for x
    x = 14,420,167,056/75,933
  6. Step 6: Final answer
    x = 189,906.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.