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Finding the Third Proportional to 52,771 and 115,796

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Solution

The third proportional to 52,771 and 115,796 is: 254,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,771 : 115,796 = 115,796 : x
  2. Step 2: Convert to fraction form
    52,771/115,796 = 115,796/x
  3. Step 3: Cross multiply
    52,771x = 115,796 × 115,796
  4. Step 4: Simplify right side
    52,771x = 13,408,713,616
  5. Step 5: Solve for x
    x = 13,408,713,616/52,771
  6. Step 6: Final answer
    x = 254,092.47

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