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Finding the Third Proportional to 41,164.88 and 84,273.75

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Solution

The third proportional to 41,164.88 and 84,273.75 is: 172,527.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,164.88 : 84,273.75 = 84,273.75 : x
  2. Step 2: Convert to fraction form
    41,164.88/84,273.75 = 84,273.75/x
  3. Step 3: Cross multiply
    41,164.88x = 84,273.75 × 84,273.75
  4. Step 4: Simplify right side
    41,164.88x = 7,102,064,939.06
  5. Step 5: Solve for x
    x = 7,102,064,939.06/41,164.88
  6. Step 6: Final answer
    x = 172,527.30

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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.