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Finding the Third Proportional to 92,122 and 203,604

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Solution

The third proportional to 92,122 and 203,604 is: 449,996.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,122 : 203,604 = 203,604 : x
  2. Step 2: Convert to fraction form
    92,122/203,604 = 203,604/x
  3. Step 3: Cross multiply
    92,122x = 203,604 × 203,604
  4. Step 4: Simplify right side
    92,122x = 41,454,588,816
  5. Step 5: Solve for x
    x = 41,454,588,816/92,122
  6. Step 6: Final answer
    x = 449,996.62

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.