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Finding the Third Proportional to 118,966 and 173,698

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Solution

The third proportional to 118,966 and 173,698 is: 253,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,966 : 173,698 = 173,698 : x
  2. Step 2: Convert to fraction form
    118,966/173,698 = 173,698/x
  3. Step 3: Cross multiply
    118,966x = 173,698 × 173,698
  4. Step 4: Simplify right side
    118,966x = 30,170,995,204
  5. Step 5: Solve for x
    x = 30,170,995,204/118,966
  6. Step 6: Final answer
    x = 253,610.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.