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Finding the Third Proportional to 51,869 and 115,483

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Solution

The third proportional to 51,869 and 115,483 is: 257,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,869 : 115,483 = 115,483 : x
  2. Step 2: Convert to fraction form
    51,869/115,483 = 115,483/x
  3. Step 3: Cross multiply
    51,869x = 115,483 × 115,483
  4. Step 4: Simplify right side
    51,869x = 13,336,323,289
  5. Step 5: Solve for x
    x = 13,336,323,289/51,869
  6. Step 6: Final answer
    x = 257,115.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.