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Finding the Third Proportional to 87,392 and 188,704

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Solution

The third proportional to 87,392 and 188,704 is: 407,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,392 : 188,704 = 188,704 : x
  2. Step 2: Convert to fraction form
    87,392/188,704 = 188,704/x
  3. Step 3: Cross multiply
    87,392x = 188,704 × 188,704
  4. Step 4: Simplify right side
    87,392x = 35,609,199,616
  5. Step 5: Solve for x
    x = 35,609,199,616/87,392
  6. Step 6: Final answer
    x = 407,465.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.