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Finding the Third Proportional to 87,345 and 188,061

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Solution

The third proportional to 87,345 and 188,061 is: 404,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,345 : 188,061 = 188,061 : x
  2. Step 2: Convert to fraction form
    87,345/188,061 = 188,061/x
  3. Step 3: Cross multiply
    87,345x = 188,061 × 188,061
  4. Step 4: Simplify right side
    87,345x = 35,366,939,721
  5. Step 5: Solve for x
    x = 35,366,939,721/87,345
  6. Step 6: Final answer
    x = 404,910.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.