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Finding the Third Proportional to 120,842 and 183,823

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Solution

The third proportional to 120,842 and 183,823 is: 279,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,842 : 183,823 = 183,823 : x
  2. Step 2: Convert to fraction form
    120,842/183,823 = 183,823/x
  3. Step 3: Cross multiply
    120,842x = 183,823 × 183,823
  4. Step 4: Simplify right side
    120,842x = 33,790,895,329
  5. Step 5: Solve for x
    x = 33,790,895,329/120,842
  6. Step 6: Final answer
    x = 279,628.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.