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Finding the Third Proportional to 51,926 and 112,966

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Solution

The third proportional to 51,926 and 112,966 is: 245,759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,926 : 112,966 = 112,966 : x
  2. Step 2: Convert to fraction form
    51,926/112,966 = 112,966/x
  3. Step 3: Cross multiply
    51,926x = 112,966 × 112,966
  4. Step 4: Simplify right side
    51,926x = 12,761,317,156
  5. Step 5: Solve for x
    x = 12,761,317,156/51,926
  6. Step 6: Final answer
    x = 245,759.68

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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.