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Finding the Third Proportional to 50,885 and 108,531

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Solution

The third proportional to 50,885 and 108,531 is: 231,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,885 : 108,531 = 108,531 : x
  2. Step 2: Convert to fraction form
    50,885/108,531 = 108,531/x
  3. Step 3: Cross multiply
    50,885x = 108,531 × 108,531
  4. Step 4: Simplify right side
    50,885x = 11,778,977,961
  5. Step 5: Solve for x
    x = 11,778,977,961/50,885
  6. Step 6: Final answer
    x = 231,482.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.