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Finding the Third Proportional to 36,224 and 77,805

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Solution

The third proportional to 36,224 and 77,805 is: 167,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,224 : 77,805 = 77,805 : x
  2. Step 2: Convert to fraction form
    36,224/77,805 = 77,805/x
  3. Step 3: Cross multiply
    36,224x = 77,805 × 77,805
  4. Step 4: Simplify right side
    36,224x = 6,053,618,025
  5. Step 5: Solve for x
    x = 6,053,618,025/36,224
  6. Step 6: Final answer
    x = 167,116.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.