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Finding the Third Proportional to 47,404 and 103,736

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Solution

The third proportional to 47,404 and 103,736 is: 227,009.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,404 : 103,736 = 103,736 : x
  2. Step 2: Convert to fraction form
    47,404/103,736 = 103,736/x
  3. Step 3: Cross multiply
    47,404x = 103,736 × 103,736
  4. Step 4: Simplify right side
    47,404x = 10,761,157,696
  5. Step 5: Solve for x
    x = 10,761,157,696/47,404
  6. Step 6: Final answer
    x = 227,009.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.