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Finding the Third Proportional to 50,536 and 84,219

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Solution

The third proportional to 50,536 and 84,219 is: 140,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,536 : 84,219 = 84,219 : x
  2. Step 2: Convert to fraction form
    50,536/84,219 = 84,219/x
  3. Step 3: Cross multiply
    50,536x = 84,219 × 84,219
  4. Step 4: Simplify right side
    50,536x = 7,092,839,961
  5. Step 5: Solve for x
    x = 7,092,839,961/50,536
  6. Step 6: Final answer
    x = 140,352.22

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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.