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Finding the Third Proportional to 117,236 and 167,997

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Solution

The third proportional to 117,236 and 167,997 is: 240,736.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,236 : 167,997 = 167,997 : x
  2. Step 2: Convert to fraction form
    117,236/167,997 = 167,997/x
  3. Step 3: Cross multiply
    117,236x = 167,997 × 167,997
  4. Step 4: Simplify right side
    117,236x = 28,222,992,009
  5. Step 5: Solve for x
    x = 28,222,992,009/117,236
  6. Step 6: Final answer
    x = 240,736.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.