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Finding the Third Proportional to 104,249 and 167,855

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Solution

The third proportional to 104,249 and 167,855 is: 270,269.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,249 : 167,855 = 167,855 : x
  2. Step 2: Convert to fraction form
    104,249/167,855 = 167,855/x
  3. Step 3: Cross multiply
    104,249x = 167,855 × 167,855
  4. Step 4: Simplify right side
    104,249x = 28,175,301,025
  5. Step 5: Solve for x
    x = 28,175,301,025/104,249
  6. Step 6: Final answer
    x = 270,269.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.