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Finding the Third Proportional to 47,698 and 103,718

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Solution

The third proportional to 47,698 and 103,718 is: 225,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,698 : 103,718 = 103,718 : x
  2. Step 2: Convert to fraction form
    47,698/103,718 = 103,718/x
  3. Step 3: Cross multiply
    47,698x = 103,718 × 103,718
  4. Step 4: Simplify right side
    47,698x = 10,757,423,524
  5. Step 5: Solve for x
    x = 10,757,423,524/47,698
  6. Step 6: Final answer
    x = 225,531.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.