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Finding the Third Proportional to 41,066 and 88,266.75

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Solution

The third proportional to 41,066 and 88,266.75 is: 189,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,066 : 88,266.75 = 88,266.75 : x
  2. Step 2: Convert to fraction form
    41,066/88,266.75 = 88,266.75/x
  3. Step 3: Cross multiply
    41,066x = 88,266.75 × 88,266.75
  4. Step 4: Simplify right side
    41,066x = 7,791,019,155.56
  5. Step 5: Solve for x
    x = 7,791,019,155.56/41,066
  6. Step 6: Final answer
    x = 189,719.46

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