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Finding the Third Proportional to 118,923 and 163,077

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Solution

The third proportional to 118,923 and 163,077 is: 223,624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,923 : 163,077 = 163,077 : x
  2. Step 2: Convert to fraction form
    118,923/163,077 = 163,077/x
  3. Step 3: Cross multiply
    118,923x = 163,077 × 163,077
  4. Step 4: Simplify right side
    118,923x = 26,594,107,929
  5. Step 5: Solve for x
    x = 26,594,107,929/118,923
  6. Step 6: Final answer
    x = 223,624.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.