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Finding the Third Proportional to 80,105 and 120,773

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Solution

The third proportional to 80,105 and 120,773 is: 182,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,105 : 120,773 = 120,773 : x
  2. Step 2: Convert to fraction form
    80,105/120,773 = 120,773/x
  3. Step 3: Cross multiply
    80,105x = 120,773 × 120,773
  4. Step 4: Simplify right side
    80,105x = 14,586,117,529
  5. Step 5: Solve for x
    x = 14,586,117,529/80,105
  6. Step 6: Final answer
    x = 182,087.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.