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Finding the Third Proportional to 87,803 and 186,055

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Solution

The third proportional to 87,803 and 186,055 is: 394,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,803 : 186,055 = 186,055 : x
  2. Step 2: Convert to fraction form
    87,803/186,055 = 186,055/x
  3. Step 3: Cross multiply
    87,803x = 186,055 × 186,055
  4. Step 4: Simplify right side
    87,803x = 34,616,463,025
  5. Step 5: Solve for x
    x = 34,616,463,025/87,803
  6. Step 6: Final answer
    x = 394,251.48

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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.