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Finding the Third Proportional to 47,512 and 100,362

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Solution

The third proportional to 47,512 and 100,362 is: 211,999.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,512 : 100,362 = 100,362 : x
  2. Step 2: Convert to fraction form
    47,512/100,362 = 100,362/x
  3. Step 3: Cross multiply
    47,512x = 100,362 × 100,362
  4. Step 4: Simplify right side
    47,512x = 10,072,531,044
  5. Step 5: Solve for x
    x = 10,072,531,044/47,512
  6. Step 6: Final answer
    x = 211,999.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.