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Finding the Third Proportional to 57,519 and 117,828

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Solution

The third proportional to 57,519 and 117,828 is: 241,371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,519 : 117,828 = 117,828 : x
  2. Step 2: Convert to fraction form
    57,519/117,828 = 117,828/x
  3. Step 3: Cross multiply
    57,519x = 117,828 × 117,828
  4. Step 4: Simplify right side
    57,519x = 13,883,437,584
  5. Step 5: Solve for x
    x = 13,883,437,584/57,519
  6. Step 6: Final answer
    x = 241,371.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.