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Finding the Third Proportional to 47,004 and 105,845

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Solution

The third proportional to 47,004 and 105,845 is: 238,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,004 : 105,845 = 105,845 : x
  2. Step 2: Convert to fraction form
    47,004/105,845 = 105,845/x
  3. Step 3: Cross multiply
    47,004x = 105,845 × 105,845
  4. Step 4: Simplify right side
    47,004x = 11,203,164,025
  5. Step 5: Solve for x
    x = 11,203,164,025/47,004
  6. Step 6: Final answer
    x = 238,344.91

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.