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Finding the Third Proportional to 80,232 and 120,177

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Solution

The third proportional to 80,232 and 120,177 is: 180,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,232 : 120,177 = 120,177 : x
  2. Step 2: Convert to fraction form
    80,232/120,177 = 120,177/x
  3. Step 3: Cross multiply
    80,232x = 120,177 × 120,177
  4. Step 4: Simplify right side
    80,232x = 14,442,511,329
  5. Step 5: Solve for x
    x = 14,442,511,329/80,232
  6. Step 6: Final answer
    x = 180,009.36

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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.