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Finding the Third Proportional to 51,171 and 104,877

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Solution

The third proportional to 51,171 and 104,877 is: 214,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,171 : 104,877 = 104,877 : x
  2. Step 2: Convert to fraction form
    51,171/104,877 = 104,877/x
  3. Step 3: Cross multiply
    51,171x = 104,877 × 104,877
  4. Step 4: Simplify right side
    51,171x = 10,999,185,129
  5. Step 5: Solve for x
    x = 10,999,185,129/51,171
  6. Step 6: Final answer
    x = 214,949.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.