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Finding the Third Proportional to 117,081 and 167,305

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Solution

The third proportional to 117,081 and 167,305 is: 239,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,081 : 167,305 = 167,305 : x
  2. Step 2: Convert to fraction form
    117,081/167,305 = 167,305/x
  3. Step 3: Cross multiply
    117,081x = 167,305 × 167,305
  4. Step 4: Simplify right side
    117,081x = 27,990,963,025
  5. Step 5: Solve for x
    x = 27,990,963,025/117,081
  6. Step 6: Final answer
    x = 239,073.49

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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.