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Finding the Third Proportional to 54,272 and 111,232

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Solution

The third proportional to 54,272 and 111,232 is: 227,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,272 : 111,232 = 111,232 : x
  2. Step 2: Convert to fraction form
    54,272/111,232 = 111,232/x
  3. Step 3: Cross multiply
    54,272x = 111,232 × 111,232
  4. Step 4: Simplify right side
    54,272x = 12,372,557,824
  5. Step 5: Solve for x
    x = 12,372,557,824/54,272
  6. Step 6: Final answer
    x = 227,973.13

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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.