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Finding the Third Proportional to 51,410 and 106,924

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Solution

The third proportional to 51,410 and 106,924 is: 222,383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,410 : 106,924 = 106,924 : x
  2. Step 2: Convert to fraction form
    51,410/106,924 = 106,924/x
  3. Step 3: Cross multiply
    51,410x = 106,924 × 106,924
  4. Step 4: Simplify right side
    51,410x = 11,432,741,776
  5. Step 5: Solve for x
    x = 11,432,741,776/51,410
  6. Step 6: Final answer
    x = 222,383.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.