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Finding the Third Proportional to 47,012 and 100,855

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Solution

The third proportional to 47,012 and 100,855 is: 216,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,012 : 100,855 = 100,855 : x
  2. Step 2: Convert to fraction form
    47,012/100,855 = 100,855/x
  3. Step 3: Cross multiply
    47,012x = 100,855 × 100,855
  4. Step 4: Simplify right side
    47,012x = 10,171,731,025
  5. Step 5: Solve for x
    x = 10,171,731,025/47,012
  6. Step 6: Final answer
    x = 216,364.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.