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Finding the Third Proportional to 51,400 and 106,904

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Solution

The third proportional to 51,400 and 106,904 is: 222,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,400 : 106,904 = 106,904 : x
  2. Step 2: Convert to fraction form
    51,400/106,904 = 106,904/x
  3. Step 3: Cross multiply
    51,400x = 106,904 × 106,904
  4. Step 4: Simplify right side
    51,400x = 11,428,465,216
  5. Step 5: Solve for x
    x = 11,428,465,216/51,400
  6. Step 6: Final answer
    x = 222,343.68

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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.