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Finding the Third Proportional to 47,034 and 100,449

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Solution

The third proportional to 47,034 and 100,449 is: 214,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,034 : 100,449 = 100,449 : x
  2. Step 2: Convert to fraction form
    47,034/100,449 = 100,449/x
  3. Step 3: Cross multiply
    47,034x = 100,449 × 100,449
  4. Step 4: Simplify right side
    47,034x = 10,090,001,601
  5. Step 5: Solve for x
    x = 10,090,001,601/47,034
  6. Step 6: Final answer
    x = 214,525.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.