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Finding the Third Proportional to 53,231 and 115,912

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Solution

The third proportional to 53,231 and 115,912 is: 252,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,231 : 115,912 = 115,912 : x
  2. Step 2: Convert to fraction form
    53,231/115,912 = 115,912/x
  3. Step 3: Cross multiply
    53,231x = 115,912 × 115,912
  4. Step 4: Simplify right side
    53,231x = 13,435,591,744
  5. Step 5: Solve for x
    x = 13,435,591,744/53,231
  6. Step 6: Final answer
    x = 252,401.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.