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Finding the Third Proportional to 87,704.50 and 186,341

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Solution

The third proportional to 87,704.50 and 186,341 is: 395,908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,704.50 : 186,341 = 186,341 : x
  2. Step 2: Convert to fraction form
    87,704.50/186,341 = 186,341/x
  3. Step 3: Cross multiply
    87,704.50x = 186,341 × 186,341
  4. Step 4: Simplify right side
    87,704.50x = 34,722,968,281
  5. Step 5: Solve for x
    x = 34,722,968,281/87,704.50
  6. Step 6: Final answer
    x = 395,908.63

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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.