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Finding the Third Proportional to 50,517.84 and 84,192.75

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Solution

The third proportional to 50,517.84 and 84,192.75 is: 140,315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,517.84 : 84,192.75 = 84,192.75 : x
  2. Step 2: Convert to fraction form
    50,517.84/84,192.75 = 84,192.75/x
  3. Step 3: Cross multiply
    50,517.84x = 84,192.75 × 84,192.75
  4. Step 4: Simplify right side
    50,517.84x = 7,088,419,152.56
  5. Step 5: Solve for x
    x = 7,088,419,152.56/50,517.84
  6. Step 6: Final answer
    x = 140,315.16

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.