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Finding the Third Proportional to 62,923 and 136,898

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Solution

The third proportional to 62,923 and 136,898 is: 297,841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,923 : 136,898 = 136,898 : x
  2. Step 2: Convert to fraction form
    62,923/136,898 = 136,898/x
  3. Step 3: Cross multiply
    62,923x = 136,898 × 136,898
  4. Step 4: Simplify right side
    62,923x = 18,741,062,404
  5. Step 5: Solve for x
    x = 18,741,062,404/62,923
  6. Step 6: Final answer
    x = 297,841.21

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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.