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Finding the Third Proportional to 66,898 and 146,234

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Solution

The third proportional to 66,898 and 146,234 is: 319,656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,898 : 146,234 = 146,234 : x
  2. Step 2: Convert to fraction form
    66,898/146,234 = 146,234/x
  3. Step 3: Cross multiply
    66,898x = 146,234 × 146,234
  4. Step 4: Simplify right side
    66,898x = 21,384,382,756
  5. Step 5: Solve for x
    x = 21,384,382,756/66,898
  6. Step 6: Final answer
    x = 319,656.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.