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Finding the Third Proportional to 50,954 and 104,175.50

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Solution

The third proportional to 50,954 and 104,175.50 is: 212,986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,954 : 104,175.50 = 104,175.50 : x
  2. Step 2: Convert to fraction form
    50,954/104,175.50 = 104,175.50/x
  3. Step 3: Cross multiply
    50,954x = 104,175.50 × 104,175.50
  4. Step 4: Simplify right side
    50,954x = 10,852,534,800.25
  5. Step 5: Solve for x
    x = 10,852,534,800.25/50,954
  6. Step 6: Final answer
    x = 212,986.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.