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Finding the Third Proportional to 80,467 and 118,235

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Solution

The third proportional to 80,467 and 118,235 is: 173,729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,467 : 118,235 = 118,235 : x
  2. Step 2: Convert to fraction form
    80,467/118,235 = 118,235/x
  3. Step 3: Cross multiply
    80,467x = 118,235 × 118,235
  4. Step 4: Simplify right side
    80,467x = 13,979,515,225
  5. Step 5: Solve for x
    x = 13,979,515,225/80,467
  6. Step 6: Final answer
    x = 173,729.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.