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Finding the Third Proportional to 52,667 and 79,671

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Solution

The third proportional to 52,667 and 79,671 is: 120,520.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,667 : 79,671 = 79,671 : x
  2. Step 2: Convert to fraction form
    52,667/79,671 = 79,671/x
  3. Step 3: Cross multiply
    52,667x = 79,671 × 79,671
  4. Step 4: Simplify right side
    52,667x = 6,347,468,241
  5. Step 5: Solve for x
    x = 6,347,468,241/52,667
  6. Step 6: Final answer
    x = 120,520.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.