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Finding the Third Proportional to 50,876 and 80,346

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Solution

The third proportional to 50,876 and 80,346 is: 126,886.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,876 : 80,346 = 80,346 : x
  2. Step 2: Convert to fraction form
    50,876/80,346 = 80,346/x
  3. Step 3: Cross multiply
    50,876x = 80,346 × 80,346
  4. Step 4: Simplify right side
    50,876x = 6,455,479,716
  5. Step 5: Solve for x
    x = 6,455,479,716/50,876
  6. Step 6: Final answer
    x = 126,886.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.