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Finding the Third Proportional to 43,002 and 65,152

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Solution

The third proportional to 43,002 and 65,152 is: 98,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,002 : 65,152 = 65,152 : x
  2. Step 2: Convert to fraction form
    43,002/65,152 = 65,152/x
  3. Step 3: Cross multiply
    43,002x = 65,152 × 65,152
  4. Step 4: Simplify right side
    43,002x = 4,244,783,104
  5. Step 5: Solve for x
    x = 4,244,783,104/43,002
  6. Step 6: Final answer
    x = 98,711.29

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.