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Finding the Third Proportional to 87,084 and 186,804

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Solution

The third proportional to 87,084 and 186,804 is: 400,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,084 : 186,804 = 186,804 : x
  2. Step 2: Convert to fraction form
    87,084/186,804 = 186,804/x
  3. Step 3: Cross multiply
    87,084x = 186,804 × 186,804
  4. Step 4: Simplify right side
    87,084x = 34,895,734,416
  5. Step 5: Solve for x
    x = 34,895,734,416/87,084
  6. Step 6: Final answer
    x = 400,713.50

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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.