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Finding the Third Proportional to 71,400 and 106,884

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Solution

The third proportional to 71,400 and 106,884 is: 160,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,400 : 106,884 = 106,884 : x
  2. Step 2: Convert to fraction form
    71,400/106,884 = 106,884/x
  3. Step 3: Cross multiply
    71,400x = 106,884 × 106,884
  4. Step 4: Simplify right side
    71,400x = 11,424,189,456
  5. Step 5: Solve for x
    x = 11,424,189,456/71,400
  6. Step 6: Final answer
    x = 160,002.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.