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Finding the Third Proportional to 106,520 and 167,084

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Solution

The third proportional to 106,520 and 167,084 is: 262,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,520 : 167,084 = 167,084 : x
  2. Step 2: Convert to fraction form
    106,520/167,084 = 167,084/x
  3. Step 3: Cross multiply
    106,520x = 167,084 × 167,084
  4. Step 4: Simplify right side
    106,520x = 27,917,063,056
  5. Step 5: Solve for x
    x = 27,917,063,056/106,520
  6. Step 6: Final answer
    x = 262,082.83

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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.