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Finding the Third Proportional to 61,968 and 127,232

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Solution

The third proportional to 61,968 and 127,232 is: 261,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,968 : 127,232 = 127,232 : x
  2. Step 2: Convert to fraction form
    61,968/127,232 = 127,232/x
  3. Step 3: Cross multiply
    61,968x = 127,232 × 127,232
  4. Step 4: Simplify right side
    61,968x = 16,187,981,824
  5. Step 5: Solve for x
    x = 16,187,981,824/61,968
  6. Step 6: Final answer
    x = 261,231.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.