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Finding the Third Proportional to 94,022 and 135,855

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Solution

The third proportional to 94,022 and 135,855 is: 196,300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,022 : 135,855 = 135,855 : x
  2. Step 2: Convert to fraction form
    94,022/135,855 = 135,855/x
  3. Step 3: Cross multiply
    94,022x = 135,855 × 135,855
  4. Step 4: Simplify right side
    94,022x = 18,456,581,025
  5. Step 5: Solve for x
    x = 18,456,581,025/94,022
  6. Step 6: Final answer
    x = 196,300.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.