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Finding the Third Proportional to 39,736 and 84,210

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Solution

The third proportional to 39,736 and 84,210 is: 178,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,736 : 84,210 = 84,210 : x
  2. Step 2: Convert to fraction form
    39,736/84,210 = 84,210/x
  3. Step 3: Cross multiply
    39,736x = 84,210 × 84,210
  4. Step 4: Simplify right side
    39,736x = 7,091,324,100
  5. Step 5: Solve for x
    x = 7,091,324,100/39,736
  6. Step 6: Final answer
    x = 178,460.94

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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.