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Finding the Third Proportional to 92,827 and 203,042

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Solution

The third proportional to 92,827 and 203,042 is: 444,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,827 : 203,042 = 203,042 : x
  2. Step 2: Convert to fraction form
    92,827/203,042 = 203,042/x
  3. Step 3: Cross multiply
    92,827x = 203,042 × 203,042
  4. Step 4: Simplify right side
    92,827x = 41,226,053,764
  5. Step 5: Solve for x
    x = 41,226,053,764/92,827
  6. Step 6: Final answer
    x = 444,117.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.