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Finding the Third Proportional to 122,923 and 268,094

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Solution

The third proportional to 122,923 and 268,094 is: 584,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,923 : 268,094 = 268,094 : x
  2. Step 2: Convert to fraction form
    122,923/268,094 = 268,094/x
  3. Step 3: Cross multiply
    122,923x = 268,094 × 268,094
  4. Step 4: Simplify right side
    122,923x = 71,874,392,836
  5. Step 5: Solve for x
    x = 71,874,392,836/122,923
  6. Step 6: Final answer
    x = 584,710.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.