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Finding the Third Proportional to 40,873 and 65,077

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Solution

The third proportional to 40,873 and 65,077 is: 103,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,873 : 65,077 = 65,077 : x
  2. Step 2: Convert to fraction form
    40,873/65,077 = 65,077/x
  3. Step 3: Cross multiply
    40,873x = 65,077 × 65,077
  4. Step 4: Simplify right side
    40,873x = 4,235,015,929
  5. Step 5: Solve for x
    x = 4,235,015,929/40,873
  6. Step 6: Final answer
    x = 103,614.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.