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Finding the Third Proportional to 36,245 and 73,513

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Solution

The third proportional to 36,245 and 73,513 is: 149,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,245 : 73,513 = 73,513 : x
  2. Step 2: Convert to fraction form
    36,245/73,513 = 73,513/x
  3. Step 3: Cross multiply
    36,245x = 73,513 × 73,513
  4. Step 4: Simplify right side
    36,245x = 5,404,161,169
  5. Step 5: Solve for x
    x = 5,404,161,169/36,245
  6. Step 6: Final answer
    x = 149,100.87

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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.