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Finding the Third Proportional to 47,412 and 104,371

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Solution

The third proportional to 47,412 and 104,371 is: 229,758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,412 : 104,371 = 104,371 : x
  2. Step 2: Convert to fraction form
    47,412/104,371 = 104,371/x
  3. Step 3: Cross multiply
    47,412x = 104,371 × 104,371
  4. Step 4: Simplify right side
    47,412x = 10,893,305,641
  5. Step 5: Solve for x
    x = 10,893,305,641/47,412
  6. Step 6: Final answer
    x = 229,758.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.