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Finding the Third Proportional to 50,194 and 75,718

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Solution

The third proportional to 50,194 and 75,718 is: 114,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,194 : 75,718 = 75,718 : x
  2. Step 2: Convert to fraction form
    50,194/75,718 = 75,718/x
  3. Step 3: Cross multiply
    50,194x = 75,718 × 75,718
  4. Step 4: Simplify right side
    50,194x = 5,733,215,524
  5. Step 5: Solve for x
    x = 5,733,215,524/50,194
  6. Step 6: Final answer
    x = 114,221.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.