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Finding the Third Proportional to 39,741 and 84,219

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Solution

The third proportional to 39,741 and 84,219 is: 178,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,741 : 84,219 = 84,219 : x
  2. Step 2: Convert to fraction form
    39,741/84,219 = 84,219/x
  3. Step 3: Cross multiply
    39,741x = 84,219 × 84,219
  4. Step 4: Simplify right side
    39,741x = 7,092,839,961
  5. Step 5: Solve for x
    x = 7,092,839,961/39,741
  6. Step 6: Final answer
    x = 178,476.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.