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Finding the Third Proportional to 51,950 and 74,283

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Solution

The third proportional to 51,950 and 74,283 is: 106,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,950 : 74,283 = 74,283 : x
  2. Step 2: Convert to fraction form
    51,950/74,283 = 74,283/x
  3. Step 3: Cross multiply
    51,950x = 74,283 × 74,283
  4. Step 4: Simplify right side
    51,950x = 5,517,964,089
  5. Step 5: Solve for x
    x = 5,517,964,089/51,950
  6. Step 6: Final answer
    x = 106,216.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.