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Finding the Third Proportional to 121,832 and 182,748

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Solution

The third proportional to 121,832 and 182,748 is: 274,122

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,832 : 182,748 = 182,748 : x
  2. Step 2: Convert to fraction form
    121,832/182,748 = 182,748/x
  3. Step 3: Cross multiply
    121,832x = 182,748 × 182,748
  4. Step 4: Simplify right side
    121,832x = 33,396,831,504
  5. Step 5: Solve for x
    x = 33,396,831,504/121,832
  6. Step 6: Final answer
    x = 274,122

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.