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Finding the Third Proportional to 53,828 and 117,876

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Solution

The third proportional to 53,828 and 117,876 is: 258,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,828 : 117,876 = 117,876 : x
  2. Step 2: Convert to fraction form
    53,828/117,876 = 117,876/x
  3. Step 3: Cross multiply
    53,828x = 117,876 × 117,876
  4. Step 4: Simplify right side
    53,828x = 13,894,751,376
  5. Step 5: Solve for x
    x = 13,894,751,376/53,828
  6. Step 6: Final answer
    x = 258,132.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.