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Finding the Third Proportional to 36,169 and 54,217

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Solution

The third proportional to 36,169 and 54,217 is: 81,270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,169 : 54,217 = 54,217 : x
  2. Step 2: Convert to fraction form
    36,169/54,217 = 54,217/x
  3. Step 3: Cross multiply
    36,169x = 54,217 × 54,217
  4. Step 4: Simplify right side
    36,169x = 2,939,483,089
  5. Step 5: Solve for x
    x = 2,939,483,089/36,169
  6. Step 6: Final answer
    x = 81,270.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.