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Finding the Third Proportional to 36,656 and 81,736

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Solution

The third proportional to 36,656 and 81,736 is: 182,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,656 : 81,736 = 81,736 : x
  2. Step 2: Convert to fraction form
    36,656/81,736 = 81,736/x
  3. Step 3: Cross multiply
    36,656x = 81,736 × 81,736
  4. Step 4: Simplify right side
    36,656x = 6,680,773,696
  5. Step 5: Solve for x
    x = 6,680,773,696/36,656
  6. Step 6: Final answer
    x = 182,255.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.