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Finding the Third Proportional to 94,186 and 133,899

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Solution

The third proportional to 94,186 and 133,899 is: 190,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,186 : 133,899 = 133,899 : x
  2. Step 2: Convert to fraction form
    94,186/133,899 = 133,899/x
  3. Step 3: Cross multiply
    94,186x = 133,899 × 133,899
  4. Step 4: Simplify right side
    94,186x = 17,928,942,201
  5. Step 5: Solve for x
    x = 17,928,942,201/94,186
  6. Step 6: Final answer
    x = 190,356.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.