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Finding the Third Proportional to 67,992 and 105,018

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Solution

The third proportional to 67,992 and 105,018 is: 162,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,992 : 105,018 = 105,018 : x
  2. Step 2: Convert to fraction form
    67,992/105,018 = 105,018/x
  3. Step 3: Cross multiply
    67,992x = 105,018 × 105,018
  4. Step 4: Simplify right side
    67,992x = 11,028,780,324
  5. Step 5: Solve for x
    x = 11,028,780,324/67,992
  6. Step 6: Final answer
    x = 162,207.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.