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Finding the Third Proportional to 106,567 and 142,171

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Solution

The third proportional to 106,567 and 142,171 is: 189,670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,567 : 142,171 = 142,171 : x
  2. Step 2: Convert to fraction form
    106,567/142,171 = 142,171/x
  3. Step 3: Cross multiply
    106,567x = 142,171 × 142,171
  4. Step 4: Simplify right side
    106,567x = 20,212,593,241
  5. Step 5: Solve for x
    x = 20,212,593,241/106,567
  6. Step 6: Final answer
    x = 189,670.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.