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Finding the Third Proportional to 120,933 and 185,571

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Solution

The third proportional to 120,933 and 185,571 is: 284,757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,933 : 185,571 = 185,571 : x
  2. Step 2: Convert to fraction form
    120,933/185,571 = 185,571/x
  3. Step 3: Cross multiply
    120,933x = 185,571 × 185,571
  4. Step 4: Simplify right side
    120,933x = 34,436,596,041
  5. Step 5: Solve for x
    x = 34,436,596,041/120,933
  6. Step 6: Final answer
    x = 284,757.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.