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Finding the Third Proportional to 111,951 and 167,857.31

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Solution

The third proportional to 111,951 and 167,857.31 is: 251,682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,951 : 167,857.31 = 167,857.31 : x
  2. Step 2: Convert to fraction form
    111,951/167,857.31 = 167,857.31/x
  3. Step 3: Cross multiply
    111,951x = 167,857.31 × 167,857.31
  4. Step 4: Simplify right side
    111,951x = 28,176,077,359.72
  5. Step 5: Solve for x
    x = 28,176,077,359.72/111,951
  6. Step 6: Final answer
    x = 251,682.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.