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Finding the Third Proportional to 41,899.50 and 86,019.75

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Solution

The third proportional to 41,899.50 and 86,019.75 is: 176,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,899.50 : 86,019.75 = 86,019.75 : x
  2. Step 2: Convert to fraction form
    41,899.50/86,019.75 = 86,019.75/x
  3. Step 3: Cross multiply
    41,899.50x = 86,019.75 × 86,019.75
  4. Step 4: Simplify right side
    41,899.50x = 7,399,397,390.06
  5. Step 5: Solve for x
    x = 7,399,397,390.06/41,899.50
  6. Step 6: Final answer
    x = 176,598.70

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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.