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Finding the Third Proportional to 41,866 and 92,156

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Solution

The third proportional to 41,866 and 92,156 is: 202,855.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,866 : 92,156 = 92,156 : x
  2. Step 2: Convert to fraction form
    41,866/92,156 = 92,156/x
  3. Step 3: Cross multiply
    41,866x = 92,156 × 92,156
  4. Step 4: Simplify right side
    41,866x = 8,492,728,336
  5. Step 5: Solve for x
    x = 8,492,728,336/41,866
  6. Step 6: Final answer
    x = 202,855.02

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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.