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Finding the Third Proportional to 47,976 and 103,608

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Solution

The third proportional to 47,976 and 103,608 is: 223,749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,976 : 103,608 = 103,608 : x
  2. Step 2: Convert to fraction form
    47,976/103,608 = 103,608/x
  3. Step 3: Cross multiply
    47,976x = 103,608 × 103,608
  4. Step 4: Simplify right side
    47,976x = 10,734,617,664
  5. Step 5: Solve for x
    x = 10,734,617,664/47,976
  6. Step 6: Final answer
    x = 223,749.74

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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.