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Finding the Third Proportional to 36,219 and 76,371

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Solution

The third proportional to 36,219 and 76,371 is: 161,035.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,219 : 76,371 = 76,371 : x
  2. Step 2: Convert to fraction form
    36,219/76,371 = 76,371/x
  3. Step 3: Cross multiply
    36,219x = 76,371 × 76,371
  4. Step 4: Simplify right side
    36,219x = 5,832,529,641
  5. Step 5: Solve for x
    x = 5,832,529,641/36,219
  6. Step 6: Final answer
    x = 161,035.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.