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Finding the Third Proportional to 51,974 and 112,257

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Solution

The third proportional to 51,974 and 112,257 is: 242,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,974 : 112,257 = 112,257 : x
  2. Step 2: Convert to fraction form
    51,974/112,257 = 112,257/x
  3. Step 3: Cross multiply
    51,974x = 112,257 × 112,257
  4. Step 4: Simplify right side
    51,974x = 12,601,634,049
  5. Step 5: Solve for x
    x = 12,601,634,049/51,974
  6. Step 6: Final answer
    x = 242,460.35

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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.