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Finding the Third Proportional to 44,912 and 74,856

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Solution

The third proportional to 44,912 and 74,856 is: 124,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,912 : 74,856 = 74,856 : x
  2. Step 2: Convert to fraction form
    44,912/74,856 = 74,856/x
  3. Step 3: Cross multiply
    44,912x = 74,856 × 74,856
  4. Step 4: Simplify right side
    44,912x = 5,603,420,736
  5. Step 5: Solve for x
    x = 5,603,420,736/44,912
  6. Step 6: Final answer
    x = 124,764.44

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.