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Finding the Third Proportional to 36,216 and 80,208

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Solution

The third proportional to 36,216 and 80,208 is: 177,637.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,216 : 80,208 = 80,208 : x
  2. Step 2: Convert to fraction form
    36,216/80,208 = 80,208/x
  3. Step 3: Cross multiply
    36,216x = 80,208 × 80,208
  4. Step 4: Simplify right side
    36,216x = 6,433,323,264
  5. Step 5: Solve for x
    x = 6,433,323,264/36,216
  6. Step 6: Final answer
    x = 177,637.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.