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Finding the Third Proportional to 134,872 and 202,744

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Solution

The third proportional to 134,872 and 202,744 is: 304,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,872 : 202,744 = 202,744 : x
  2. Step 2: Convert to fraction form
    134,872/202,744 = 202,744/x
  3. Step 3: Cross multiply
    134,872x = 202,744 × 202,744
  4. Step 4: Simplify right side
    134,872x = 41,105,129,536
  5. Step 5: Solve for x
    x = 41,105,129,536/134,872
  6. Step 6: Final answer
    x = 304,771.41

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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.