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Finding the Third Proportional to 42,222 and 92,811

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Solution

The third proportional to 42,222 and 92,811 is: 204,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,222 : 92,811 = 92,811 : x
  2. Step 2: Convert to fraction form
    42,222/92,811 = 92,811/x
  3. Step 3: Cross multiply
    42,222x = 92,811 × 92,811
  4. Step 4: Simplify right side
    42,222x = 8,613,881,721
  5. Step 5: Solve for x
    x = 8,613,881,721/42,222
  6. Step 6: Final answer
    x = 204,014.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.