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Finding the Third Proportional to 50,512 and 79,239

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Solution

The third proportional to 50,512 and 79,239 is: 124,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,512 : 79,239 = 79,239 : x
  2. Step 2: Convert to fraction form
    50,512/79,239 = 79,239/x
  3. Step 3: Cross multiply
    50,512x = 79,239 × 79,239
  4. Step 4: Simplify right side
    50,512x = 6,278,819,121
  5. Step 5: Solve for x
    x = 6,278,819,121/50,512
  6. Step 6: Final answer
    x = 124,303.51

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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.