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Finding the Third Proportional to 42,847 and 92,273

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Solution

The third proportional to 42,847 and 92,273 is: 198,714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,847 : 92,273 = 92,273 : x
  2. Step 2: Convert to fraction form
    42,847/92,273 = 92,273/x
  3. Step 3: Cross multiply
    42,847x = 92,273 × 92,273
  4. Step 4: Simplify right side
    42,847x = 8,514,306,529
  5. Step 5: Solve for x
    x = 8,514,306,529/42,847
  6. Step 6: Final answer
    x = 198,714.18

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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.