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Finding the Third Proportional to 47,944 and 103,799

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Solution

The third proportional to 47,944 and 103,799 is: 224,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,944 : 103,799 = 103,799 : x
  2. Step 2: Convert to fraction form
    47,944/103,799 = 103,799/x
  3. Step 3: Cross multiply
    47,944x = 103,799 × 103,799
  4. Step 4: Simplify right side
    47,944x = 10,774,232,401
  5. Step 5: Solve for x
    x = 10,774,232,401/47,944
  6. Step 6: Final answer
    x = 224,725.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.