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Finding the Third Proportional to 39,954 and 86,135.06

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Solution

The third proportional to 39,954 and 86,135.06 is: 185,694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,954 : 86,135.06 = 86,135.06 : x
  2. Step 2: Convert to fraction form
    39,954/86,135.06 = 86,135.06/x
  3. Step 3: Cross multiply
    39,954x = 86,135.06 × 86,135.06
  4. Step 4: Simplify right side
    39,954x = 7,419,248,991.88
  5. Step 5: Solve for x
    x = 7,419,248,991.88/39,954
  6. Step 6: Final answer
    x = 185,694.77

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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.