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Finding the Third Proportional to 92,754 and 203,940

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Solution

The third proportional to 92,754 and 203,940 is: 448,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,754 : 203,940 = 203,940 : x
  2. Step 2: Convert to fraction form
    92,754/203,940 = 203,940/x
  3. Step 3: Cross multiply
    92,754x = 203,940 × 203,940
  4. Step 4: Simplify right side
    92,754x = 41,591,523,600
  5. Step 5: Solve for x
    x = 41,591,523,600/92,754
  6. Step 6: Final answer
    x = 448,406.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.