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Finding the Third Proportional to 51,914 and 113,656

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Solution

The third proportional to 51,914 and 113,656 is: 248,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,914 : 113,656 = 113,656 : x
  2. Step 2: Convert to fraction form
    51,914/113,656 = 113,656/x
  3. Step 3: Cross multiply
    51,914x = 113,656 × 113,656
  4. Step 4: Simplify right side
    51,914x = 12,917,686,336
  5. Step 5: Solve for x
    x = 12,917,686,336/51,914
  6. Step 6: Final answer
    x = 248,828.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.