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Finding the Third Proportional to 36,257 and 73,533

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Solution

The third proportional to 36,257 and 73,533 is: 149,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,257 : 73,533 = 73,533 : x
  2. Step 2: Convert to fraction form
    36,257/73,533 = 73,533/x
  3. Step 3: Cross multiply
    36,257x = 73,533 × 73,533
  4. Step 4: Simplify right side
    36,257x = 5,407,102,089
  5. Step 5: Solve for x
    x = 5,407,102,089/36,257
  6. Step 6: Final answer
    x = 149,132.64

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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.