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Finding the Third Proportional to 40,242 and 59,195

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Solution

The third proportional to 40,242 and 59,195 is: 87,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,242 : 59,195 = 59,195 : x
  2. Step 2: Convert to fraction form
    40,242/59,195 = 59,195/x
  3. Step 3: Cross multiply
    40,242x = 59,195 × 59,195
  4. Step 4: Simplify right side
    40,242x = 3,504,048,025
  5. Step 5: Solve for x
    x = 3,504,048,025/40,242
  6. Step 6: Final answer
    x = 87,074.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.