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Finding the Third Proportional to 117,086 and 167,312

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Solution

The third proportional to 117,086 and 167,312 is: 239,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,086 : 167,312 = 167,312 : x
  2. Step 2: Convert to fraction form
    117,086/167,312 = 167,312/x
  3. Step 3: Cross multiply
    117,086x = 167,312 × 167,312
  4. Step 4: Simplify right side
    117,086x = 27,993,305,344
  5. Step 5: Solve for x
    x = 27,993,305,344/117,086
  6. Step 6: Final answer
    x = 239,083.28

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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.