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Finding the Third Proportional to 80,928 and 171,900

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Solution

The third proportional to 80,928 and 171,900 is: 365,134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,928 : 171,900 = 171,900 : x
  2. Step 2: Convert to fraction form
    80,928/171,900 = 171,900/x
  3. Step 3: Cross multiply
    80,928x = 171,900 × 171,900
  4. Step 4: Simplify right side
    80,928x = 29,549,610,000
  5. Step 5: Solve for x
    x = 29,549,610,000/80,928
  6. Step 6: Final answer
    x = 365,134.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.