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Finding the Third Proportional to 127,923 and 178,935

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Solution

The third proportional to 127,923 and 178,935 is: 250,289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,923 : 178,935 = 178,935 : x
  2. Step 2: Convert to fraction form
    127,923/178,935 = 178,935/x
  3. Step 3: Cross multiply
    127,923x = 178,935 × 178,935
  4. Step 4: Simplify right side
    127,923x = 32,017,734,225
  5. Step 5: Solve for x
    x = 32,017,734,225/127,923
  6. Step 6: Final answer
    x = 250,289.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.