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Finding the Third Proportional to 90,714 and 192,228

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Solution

The third proportional to 90,714 and 192,228 is: 407,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,714 : 192,228 = 192,228 : x
  2. Step 2: Convert to fraction form
    90,714/192,228 = 192,228/x
  3. Step 3: Cross multiply
    90,714x = 192,228 × 192,228
  4. Step 4: Simplify right side
    90,714x = 36,951,603,984
  5. Step 5: Solve for x
    x = 36,951,603,984/90,714
  6. Step 6: Final answer
    x = 407,341.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.