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Finding the Third Proportional to 65,262 and 103,845

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Solution

The third proportional to 65,262 and 103,845 is: 165,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,262 : 103,845 = 103,845 : x
  2. Step 2: Convert to fraction form
    65,262/103,845 = 103,845/x
  3. Step 3: Cross multiply
    65,262x = 103,845 × 103,845
  4. Step 4: Simplify right side
    65,262x = 10,783,784,025
  5. Step 5: Solve for x
    x = 10,783,784,025/65,262
  6. Step 6: Final answer
    x = 165,238.33

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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.