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Finding the Third Proportional to 41,822 and 92,068

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Solution

The third proportional to 41,822 and 92,068 is: 202,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,822 : 92,068 = 92,068 : x
  2. Step 2: Convert to fraction form
    41,822/92,068 = 92,068/x
  3. Step 3: Cross multiply
    41,822x = 92,068 × 92,068
  4. Step 4: Simplify right side
    41,822x = 8,476,516,624
  5. Step 5: Solve for x
    x = 8,476,516,624/41,822
  6. Step 6: Final answer
    x = 202,680.80

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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.