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Finding the Third Proportional to 50,297 and 104,725

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Solution

The third proportional to 50,297 and 104,725 is: 218,051.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,297 : 104,725 = 104,725 : x
  2. Step 2: Convert to fraction form
    50,297/104,725 = 104,725/x
  3. Step 3: Cross multiply
    50,297x = 104,725 × 104,725
  4. Step 4: Simplify right side
    50,297x = 10,967,325,625
  5. Step 5: Solve for x
    x = 10,967,325,625/50,297
  6. Step 6: Final answer
    x = 218,051.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.