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Finding the Third Proportional to 51,974 and 112,252

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Solution

The third proportional to 51,974 and 112,252 is: 242,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,974 : 112,252 = 112,252 : x
  2. Step 2: Convert to fraction form
    51,974/112,252 = 112,252/x
  3. Step 3: Cross multiply
    51,974x = 112,252 × 112,252
  4. Step 4: Simplify right side
    51,974x = 12,600,511,504
  5. Step 5: Solve for x
    x = 12,600,511,504/51,974
  6. Step 6: Final answer
    x = 242,438.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.