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Finding the Third Proportional to 44,956 and 92,816

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Solution

The third proportional to 44,956 and 92,816 is: 191,627.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,956 : 92,816 = 92,816 : x
  2. Step 2: Convert to fraction form
    44,956/92,816 = 92,816/x
  3. Step 3: Cross multiply
    44,956x = 92,816 × 92,816
  4. Step 4: Simplify right side
    44,956x = 8,614,809,856
  5. Step 5: Solve for x
    x = 8,614,809,856/44,956
  6. Step 6: Final answer
    x = 191,627.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.