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Finding the Third Proportional to 47,652 and 104,640

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Solution

The third proportional to 47,652 and 104,640 is: 229,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,652 : 104,640 = 104,640 : x
  2. Step 2: Convert to fraction form
    47,652/104,640 = 104,640/x
  3. Step 3: Cross multiply
    47,652x = 104,640 × 104,640
  4. Step 4: Simplify right side
    47,652x = 10,949,529,600
  5. Step 5: Solve for x
    x = 10,949,529,600/47,652
  6. Step 6: Final answer
    x = 229,781.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.