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Finding the Third Proportional to 39,104 and 84,133

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Solution

The third proportional to 39,104 and 84,133 is: 181,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,104 : 84,133 = 84,133 : x
  2. Step 2: Convert to fraction form
    39,104/84,133 = 84,133/x
  3. Step 3: Cross multiply
    39,104x = 84,133 × 84,133
  4. Step 4: Simplify right side
    39,104x = 7,078,361,689
  5. Step 5: Solve for x
    x = 7,078,361,689/39,104
  6. Step 6: Final answer
    x = 181,013.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.