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Finding the Third Proportional to 67,888 and 146,232

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Solution

The third proportional to 67,888 and 146,232 is: 314,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,888 : 146,232 = 146,232 : x
  2. Step 2: Convert to fraction form
    67,888/146,232 = 146,232/x
  3. Step 3: Cross multiply
    67,888x = 146,232 × 146,232
  4. Step 4: Simplify right side
    67,888x = 21,383,797,824
  5. Step 5: Solve for x
    x = 21,383,797,824/67,888
  6. Step 6: Final answer
    x = 314,986.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.