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Finding the Third Proportional to 41,778 and 94,077

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Solution

The third proportional to 41,778 and 94,077 is: 211,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,778 : 94,077 = 94,077 : x
  2. Step 2: Convert to fraction form
    41,778/94,077 = 94,077/x
  3. Step 3: Cross multiply
    41,778x = 94,077 × 94,077
  4. Step 4: Simplify right side
    41,778x = 8,850,481,929
  5. Step 5: Solve for x
    x = 8,850,481,929/41,778
  6. Step 6: Final answer
    x = 211,845.52

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.