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Finding the Third Proportional to 51,410 and 104,251

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Solution

The third proportional to 51,410 and 104,251 is: 211,403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,410 : 104,251 = 104,251 : x
  2. Step 2: Convert to fraction form
    51,410/104,251 = 104,251/x
  3. Step 3: Cross multiply
    51,410x = 104,251 × 104,251
  4. Step 4: Simplify right side
    51,410x = 10,868,271,001
  5. Step 5: Solve for x
    x = 10,868,271,001/51,410
  6. Step 6: Final answer
    x = 211,403.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.