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Finding the Third Proportional to 51,950 and 77,923

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Solution

The third proportional to 51,950 and 77,923 is: 116,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,950 : 77,923 = 77,923 : x
  2. Step 2: Convert to fraction form
    51,950/77,923 = 77,923/x
  3. Step 3: Cross multiply
    51,950x = 77,923 × 77,923
  4. Step 4: Simplify right side
    51,950x = 6,071,993,929
  5. Step 5: Solve for x
    x = 6,071,993,929/51,950
  6. Step 6: Final answer
    x = 116,881.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.