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Finding the Third Proportional to 36,218 and 76,369

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Solution

The third proportional to 36,218 and 76,369 is: 161,031.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,218 : 76,369 = 76,369 : x
  2. Step 2: Convert to fraction form
    36,218/76,369 = 76,369/x
  3. Step 3: Cross multiply
    36,218x = 76,369 × 76,369
  4. Step 4: Simplify right side
    36,218x = 5,832,224,161
  5. Step 5: Solve for x
    x = 5,832,224,161/36,218
  6. Step 6: Final answer
    x = 161,031.09

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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.