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Finding the Third Proportional to 95,026 and 204,781

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Solution

The third proportional to 95,026 and 204,781 is: 441,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,026 : 204,781 = 204,781 : x
  2. Step 2: Convert to fraction form
    95,026/204,781 = 204,781/x
  3. Step 3: Cross multiply
    95,026x = 204,781 × 204,781
  4. Step 4: Simplify right side
    95,026x = 41,935,257,961
  5. Step 5: Solve for x
    x = 41,935,257,961/95,026
  6. Step 6: Final answer
    x = 441,302.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.