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Finding the Third Proportional to 39,014 and 84,173

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Solution

The third proportional to 39,014 and 84,173 is: 181,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,014 : 84,173 = 84,173 : x
  2. Step 2: Convert to fraction form
    39,014/84,173 = 84,173/x
  3. Step 3: Cross multiply
    39,014x = 84,173 × 84,173
  4. Step 4: Simplify right side
    39,014x = 7,085,093,929
  5. Step 5: Solve for x
    x = 7,085,093,929/39,014
  6. Step 6: Final answer
    x = 181,603.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.