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Finding the Third Proportional to 113,849 and 169,849

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Solution

The third proportional to 113,849 and 169,849 is: 253,394.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,849 : 169,849 = 169,849 : x
  2. Step 2: Convert to fraction form
    113,849/169,849 = 169,849/x
  3. Step 3: Cross multiply
    113,849x = 169,849 × 169,849
  4. Step 4: Simplify right side
    113,849x = 28,848,682,801
  5. Step 5: Solve for x
    x = 28,848,682,801/113,849
  6. Step 6: Final answer
    x = 253,394.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.