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Finding the Third Proportional to 51,862 and 111,608

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Solution

The third proportional to 51,862 and 111,608 is: 240,182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,862 : 111,608 = 111,608 : x
  2. Step 2: Convert to fraction form
    51,862/111,608 = 111,608/x
  3. Step 3: Cross multiply
    51,862x = 111,608 × 111,608
  4. Step 4: Simplify right side
    51,862x = 12,456,345,664
  5. Step 5: Solve for x
    x = 12,456,345,664/51,862
  6. Step 6: Final answer
    x = 240,182.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.