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Finding the Third Proportional to 51,804 and 112,977

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Solution

The third proportional to 51,804 and 112,977 is: 246,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,804 : 112,977 = 112,977 : x
  2. Step 2: Convert to fraction form
    51,804/112,977 = 112,977/x
  3. Step 3: Cross multiply
    51,804x = 112,977 × 112,977
  4. Step 4: Simplify right side
    51,804x = 12,763,802,529
  5. Step 5: Solve for x
    x = 12,763,802,529/51,804
  6. Step 6: Final answer
    x = 246,386.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.