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Finding the Third Proportional to 52,592 and 113,608

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Solution

The third proportional to 52,592 and 113,608 is: 245,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,592 : 113,608 = 113,608 : x
  2. Step 2: Convert to fraction form
    52,592/113,608 = 113,608/x
  3. Step 3: Cross multiply
    52,592x = 113,608 × 113,608
  4. Step 4: Simplify right side
    52,592x = 12,906,777,664
  5. Step 5: Solve for x
    x = 12,906,777,664/52,592
  6. Step 6: Final answer
    x = 245,413.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.