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Finding the Third Proportional to 106,512 and 167,080

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Solution

The third proportional to 106,512 and 167,080 is: 262,089.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,512 : 167,080 = 167,080 : x
  2. Step 2: Convert to fraction form
    106,512/167,080 = 167,080/x
  3. Step 3: Cross multiply
    106,512x = 167,080 × 167,080
  4. Step 4: Simplify right side
    106,512x = 27,915,726,400
  5. Step 5: Solve for x
    x = 27,915,726,400/106,512
  6. Step 6: Final answer
    x = 262,089.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.