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Finding the Third Proportional to 36,976 and 81,326

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Solution

The third proportional to 36,976 and 81,326 is: 178,870.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,976 : 81,326 = 81,326 : x
  2. Step 2: Convert to fraction form
    36,976/81,326 = 81,326/x
  3. Step 3: Cross multiply
    36,976x = 81,326 × 81,326
  4. Step 4: Simplify right side
    36,976x = 6,613,918,276
  5. Step 5: Solve for x
    x = 6,613,918,276/36,976
  6. Step 6: Final answer
    x = 178,870.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.