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Finding the Third Proportional to 31,755 and 65,144

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Solution

The third proportional to 31,755 and 65,144 is: 133,640.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,755 : 65,144 = 65,144 : x
  2. Step 2: Convert to fraction form
    31,755/65,144 = 65,144/x
  3. Step 3: Cross multiply
    31,755x = 65,144 × 65,144
  4. Step 4: Simplify right side
    31,755x = 4,243,740,736
  5. Step 5: Solve for x
    x = 4,243,740,736/31,755
  6. Step 6: Final answer
    x = 133,640.08

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.