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Finding the Third Proportional to 43,077 and 65,025

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Solution

The third proportional to 43,077 and 65,025 is: 98,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,077 : 65,025 = 65,025 : x
  2. Step 2: Convert to fraction form
    43,077/65,025 = 65,025/x
  3. Step 3: Cross multiply
    43,077x = 65,025 × 65,025
  4. Step 4: Simplify right side
    43,077x = 4,228,250,625
  5. Step 5: Solve for x
    x = 4,228,250,625/43,077
  6. Step 6: Final answer
    x = 98,155.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.