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Finding the Third Proportional to 47,872 and 105,392

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Solution

The third proportional to 47,872 and 105,392 is: 232,024.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872 : 105,392 = 105,392 : x
  2. Step 2: Convert to fraction form
    47,872/105,392 = 105,392/x
  3. Step 3: Cross multiply
    47,872x = 105,392 × 105,392
  4. Step 4: Simplify right side
    47,872x = 11,107,473,664
  5. Step 5: Solve for x
    x = 11,107,473,664/47,872
  6. Step 6: Final answer
    x = 232,024.43

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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.