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Finding the Third Proportional to 111,786.75 and 166,161.38

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Solution

The third proportional to 111,786.75 and 166,161.38 is: 246,984.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,786.75 : 166,161.38 = 166,161.38 : x
  2. Step 2: Convert to fraction form
    111,786.75/166,161.38 = 166,161.38/x
  3. Step 3: Cross multiply
    111,786.75x = 166,161.38 × 166,161.38
  4. Step 4: Simplify right side
    111,786.75x = 27,609,602,541.89
  5. Step 5: Solve for x
    x = 27,609,602,541.89/111,786.75
  6. Step 6: Final answer
    x = 246,984.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.