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Finding the Third Proportional to 39,649.50 and 81,119.25

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Solution

The third proportional to 39,649.50 and 81,119.25 is: 165,962.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,649.50 : 81,119.25 = 81,119.25 : x
  2. Step 2: Convert to fraction form
    39,649.50/81,119.25 = 81,119.25/x
  3. Step 3: Cross multiply
    39,649.50x = 81,119.25 × 81,119.25
  4. Step 4: Simplify right side
    39,649.50x = 6,580,332,720.56
  5. Step 5: Solve for x
    x = 6,580,332,720.56/39,649.50
  6. Step 6: Final answer
    x = 165,962.56

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.