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Finding the Third Proportional to 42,296 and 92,126

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Solution

The third proportional to 42,296 and 92,126 is: 200,662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,296 : 92,126 = 92,126 : x
  2. Step 2: Convert to fraction form
    42,296/92,126 = 92,126/x
  3. Step 3: Cross multiply
    42,296x = 92,126 × 92,126
  4. Step 4: Simplify right side
    42,296x = 8,487,199,876
  5. Step 5: Solve for x
    x = 8,487,199,876/42,296
  6. Step 6: Final answer
    x = 200,662.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.