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Finding the Third Proportional to 122,065 and 182,977

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Solution

The third proportional to 122,065 and 182,977 is: 274,284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,065 : 182,977 = 182,977 : x
  2. Step 2: Convert to fraction form
    122,065/182,977 = 182,977/x
  3. Step 3: Cross multiply
    122,065x = 182,977 × 182,977
  4. Step 4: Simplify right side
    122,065x = 33,480,582,529
  5. Step 5: Solve for x
    x = 33,480,582,529/122,065
  6. Step 6: Final answer
    x = 274,284.87

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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.