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Finding the Third Proportional to 117,008 and 167,206

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Solution

The third proportional to 117,008 and 167,206 is: 238,939.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,008 : 167,206 = 167,206 : x
  2. Step 2: Convert to fraction form
    117,008/167,206 = 167,206/x
  3. Step 3: Cross multiply
    117,008x = 167,206 × 167,206
  4. Step 4: Simplify right side
    117,008x = 27,957,846,436
  5. Step 5: Solve for x
    x = 27,957,846,436/117,008
  6. Step 6: Final answer
    x = 238,939.61

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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.