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Finding the Third Proportional to 43,922 and 94,756

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Solution

The third proportional to 43,922 and 94,756 is: 204,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,922 : 94,756 = 94,756 : x
  2. Step 2: Convert to fraction form
    43,922/94,756 = 94,756/x
  3. Step 3: Cross multiply
    43,922x = 94,756 × 94,756
  4. Step 4: Simplify right side
    43,922x = 8,978,699,536
  5. Step 5: Solve for x
    x = 8,978,699,536/43,922
  6. Step 6: Final answer
    x = 204,423.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.