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Finding the Third Proportional to 117,007 and 167,197

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Solution

The third proportional to 117,007 and 167,197 is: 238,915.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,007 : 167,197 = 167,197 : x
  2. Step 2: Convert to fraction form
    117,007/167,197 = 167,197/x
  3. Step 3: Cross multiply
    117,007x = 167,197 × 167,197
  4. Step 4: Simplify right side
    117,007x = 27,954,836,809
  5. Step 5: Solve for x
    x = 27,954,836,809/117,007
  6. Step 6: Final answer
    x = 238,915.94

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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.