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Finding the Third Proportional to 36,255 and 73,529

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Solution

The third proportional to 36,255 and 73,529 is: 149,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,255 : 73,529 = 73,529 : x
  2. Step 2: Convert to fraction form
    36,255/73,529 = 73,529/x
  3. Step 3: Cross multiply
    36,255x = 73,529 × 73,529
  4. Step 4: Simplify right side
    36,255x = 5,406,513,841
  5. Step 5: Solve for x
    x = 5,406,513,841/36,255
  6. Step 6: Final answer
    x = 149,124.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.