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Finding the Third Proportional to 50,517 and 79,250

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Solution

The third proportional to 50,517 and 79,250 is: 124,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,517 : 79,250 = 79,250 : x
  2. Step 2: Convert to fraction form
    50,517/79,250 = 79,250/x
  3. Step 3: Cross multiply
    50,517x = 79,250 × 79,250
  4. Step 4: Simplify right side
    50,517x = 6,280,562,500
  5. Step 5: Solve for x
    x = 6,280,562,500/50,517
  6. Step 6: Final answer
    x = 124,325.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.