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Finding the Third Proportional to 41,778 and 90,918

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Solution

The third proportional to 41,778 and 90,918 is: 197,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,778 : 90,918 = 90,918 : x
  2. Step 2: Convert to fraction form
    41,778/90,918 = 90,918/x
  3. Step 3: Cross multiply
    41,778x = 90,918 × 90,918
  4. Step 4: Simplify right side
    41,778x = 8,266,082,724
  5. Step 5: Solve for x
    x = 8,266,082,724/41,778
  6. Step 6: Final answer
    x = 197,857.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.