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Finding the Third Proportional to 44,531 and 95,974

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Solution

The third proportional to 44,531 and 95,974 is: 206,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,531 : 95,974 = 95,974 : x
  2. Step 2: Convert to fraction form
    44,531/95,974 = 95,974/x
  3. Step 3: Cross multiply
    44,531x = 95,974 × 95,974
  4. Step 4: Simplify right side
    44,531x = 9,211,008,676
  5. Step 5: Solve for x
    x = 9,211,008,676/44,531
  6. Step 6: Final answer
    x = 206,844.86

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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.