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Finding the Third Proportional to 51,747 and 112,974

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Solution

The third proportional to 51,747 and 112,974 is: 246,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,747 : 112,974 = 112,974 : x
  2. Step 2: Convert to fraction form
    51,747/112,974 = 112,974/x
  3. Step 3: Cross multiply
    51,747x = 112,974 × 112,974
  4. Step 4: Simplify right side
    51,747x = 12,763,124,676
  5. Step 5: Solve for x
    x = 12,763,124,676/51,747
  6. Step 6: Final answer
    x = 246,644.73

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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.