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Finding the Third Proportional to 87,022 and 190,855

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Solution

The third proportional to 87,022 and 190,855 is: 418,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,022 : 190,855 = 190,855 : x
  2. Step 2: Convert to fraction form
    87,022/190,855 = 190,855/x
  3. Step 3: Cross multiply
    87,022x = 190,855 × 190,855
  4. Step 4: Simplify right side
    87,022x = 36,425,631,025
  5. Step 5: Solve for x
    x = 36,425,631,025/87,022
  6. Step 6: Final answer
    x = 418,579.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.