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Finding the Third Proportional to 36,244 and 73,507

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Solution

The third proportional to 36,244 and 73,507 is: 149,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,244 : 73,507 = 73,507 : x
  2. Step 2: Convert to fraction form
    36,244/73,507 = 73,507/x
  3. Step 3: Cross multiply
    36,244x = 73,507 × 73,507
  4. Step 4: Simplify right side
    36,244x = 5,403,279,049
  5. Step 5: Solve for x
    x = 5,403,279,049/36,244
  6. Step 6: Final answer
    x = 149,080.65

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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.