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Finding the Third Proportional to 40,376 and 95,756

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Solution

The third proportional to 40,376 and 95,756 is: 227,095.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,376 : 95,756 = 95,756 : x
  2. Step 2: Convert to fraction form
    40,376/95,756 = 95,756/x
  3. Step 3: Cross multiply
    40,376x = 95,756 × 95,756
  4. Step 4: Simplify right side
    40,376x = 9,169,211,536
  5. Step 5: Solve for x
    x = 9,169,211,536/40,376
  6. Step 6: Final answer
    x = 227,095.59

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.