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Finding the Third Proportional to 111,932 and 168,976

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Solution

The third proportional to 111,932 and 168,976 is: 255,091.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,932 : 168,976 = 168,976 : x
  2. Step 2: Convert to fraction form
    111,932/168,976 = 168,976/x
  3. Step 3: Cross multiply
    111,932x = 168,976 × 168,976
  4. Step 4: Simplify right side
    111,932x = 28,552,888,576
  5. Step 5: Solve for x
    x = 28,552,888,576/111,932
  6. Step 6: Final answer
    x = 255,091.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.