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Finding the Third Proportional to 51,925 and 113,206

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Solution

The third proportional to 51,925 and 113,206 is: 246,809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,925 : 113,206 = 113,206 : x
  2. Step 2: Convert to fraction form
    51,925/113,206 = 113,206/x
  3. Step 3: Cross multiply
    51,925x = 113,206 × 113,206
  4. Step 4: Simplify right side
    51,925x = 12,815,598,436
  5. Step 5: Solve for x
    x = 12,815,598,436/51,925
  6. Step 6: Final answer
    x = 246,809.79

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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.