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Finding the Third Proportional to 81,846 and 120,177

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Solution

The third proportional to 81,846 and 120,177 is: 176,459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,846 : 120,177 = 120,177 : x
  2. Step 2: Convert to fraction form
    81,846/120,177 = 120,177/x
  3. Step 3: Cross multiply
    81,846x = 120,177 × 120,177
  4. Step 4: Simplify right side
    81,846x = 14,442,511,329
  5. Step 5: Solve for x
    x = 14,442,511,329/81,846
  6. Step 6: Final answer
    x = 176,459.59

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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.