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Finding the Third Proportional to 47,856 and 104,006

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Solution

The third proportional to 47,856 and 104,006 is: 226,037.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,856 : 104,006 = 104,006 : x
  2. Step 2: Convert to fraction form
    47,856/104,006 = 104,006/x
  3. Step 3: Cross multiply
    47,856x = 104,006 × 104,006
  4. Step 4: Simplify right side
    47,856x = 10,817,248,036
  5. Step 5: Solve for x
    x = 10,817,248,036/47,856
  6. Step 6: Final answer
    x = 226,037.45

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Why These Related Problems?

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