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Finding the Third Proportional to 47,546 and 100,897

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Solution

The third proportional to 47,546 and 100,897 is: 214,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,546 : 100,897 = 100,897 : x
  2. Step 2: Convert to fraction form
    47,546/100,897 = 100,897/x
  3. Step 3: Cross multiply
    47,546x = 100,897 × 100,897
  4. Step 4: Simplify right side
    47,546x = 10,180,204,609
  5. Step 5: Solve for x
    x = 10,180,204,609/47,546
  6. Step 6: Final answer
    x = 214,112.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.