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Finding the Third Proportional to 87,698 and 190,180

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Solution

The third proportional to 87,698 and 190,180 is: 412,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,698 : 190,180 = 190,180 : x
  2. Step 2: Convert to fraction form
    87,698/190,180 = 190,180/x
  3. Step 3: Cross multiply
    87,698x = 190,180 × 190,180
  4. Step 4: Simplify right side
    87,698x = 36,168,432,400
  5. Step 5: Solve for x
    x = 36,168,432,400/87,698
  6. Step 6: Final answer
    x = 412,420.27

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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.