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Finding the Third Proportional to 51,879 and 75,064.50

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Solution

The third proportional to 51,879 and 75,064.50 is: 108,611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,879 : 75,064.50 = 75,064.50 : x
  2. Step 2: Convert to fraction form
    51,879/75,064.50 = 75,064.50/x
  3. Step 3: Cross multiply
    51,879x = 75,064.50 × 75,064.50
  4. Step 4: Simplify right side
    51,879x = 5,634,679,160.25
  5. Step 5: Solve for x
    x = 5,634,679,160.25/51,879
  6. Step 6: Final answer
    x = 108,611.95

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.