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Finding the Third Proportional to 47,974 and 104,996

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Solution

The third proportional to 47,974 and 104,996 is: 229,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,974 : 104,996 = 104,996 : x
  2. Step 2: Convert to fraction form
    47,974/104,996 = 104,996/x
  3. Step 3: Cross multiply
    47,974x = 104,996 × 104,996
  4. Step 4: Simplify right side
    47,974x = 11,024,160,016
  5. Step 5: Solve for x
    x = 11,024,160,016/47,974
  6. Step 6: Final answer
    x = 229,794.47

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Why These Related Problems?

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