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Finding the Third Proportional to 47,064 and 103,456

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Solution

The third proportional to 47,064 and 103,456 is: 227,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,064 : 103,456 = 103,456 : x
  2. Step 2: Convert to fraction form
    47,064/103,456 = 103,456/x
  3. Step 3: Cross multiply
    47,064x = 103,456 × 103,456
  4. Step 4: Simplify right side
    47,064x = 10,703,143,936
  5. Step 5: Solve for x
    x = 10,703,143,936/47,064
  6. Step 6: Final answer
    x = 227,416.79

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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.