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Finding the Third Proportional to 47,993 and 104,722

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Solution

The third proportional to 47,993 and 104,722 is: 228,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,993 : 104,722 = 104,722 : x
  2. Step 2: Convert to fraction form
    47,993/104,722 = 104,722/x
  3. Step 3: Cross multiply
    47,993x = 104,722 × 104,722
  4. Step 4: Simplify right side
    47,993x = 10,966,697,284
  5. Step 5: Solve for x
    x = 10,966,697,284/47,993
  6. Step 6: Final answer
    x = 228,506.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.