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Finding the Third Proportional to 45,678 and 92,616

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Solution

The third proportional to 45,678 and 92,616 is: 187,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,678 : 92,616 = 92,616 : x
  2. Step 2: Convert to fraction form
    45,678/92,616 = 92,616/x
  3. Step 3: Cross multiply
    45,678x = 92,616 × 92,616
  4. Step 4: Simplify right side
    45,678x = 8,577,723,456
  5. Step 5: Solve for x
    x = 8,577,723,456/45,678
  6. Step 6: Final answer
    x = 187,786.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.