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Finding the Third Proportional to 51,402 and 106,908

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Solution

The third proportional to 51,402 and 106,908 is: 222,351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,402 : 106,908 = 106,908 : x
  2. Step 2: Convert to fraction form
    51,402/106,908 = 106,908/x
  3. Step 3: Cross multiply
    51,402x = 106,908 × 106,908
  4. Step 4: Simplify right side
    51,402x = 11,429,320,464
  5. Step 5: Solve for x
    x = 11,429,320,464/51,402
  6. Step 6: Final answer
    x = 222,351.67

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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.