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Finding the Third Proportional to 49,760 and 107,272

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Solution

The third proportional to 49,760 and 107,272 is: 231,255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,760 : 107,272 = 107,272 : x
  2. Step 2: Convert to fraction form
    49,760/107,272 = 107,272/x
  3. Step 3: Cross multiply
    49,760x = 107,272 × 107,272
  4. Step 4: Simplify right side
    49,760x = 11,507,281,984
  5. Step 5: Solve for x
    x = 11,507,281,984/49,760
  6. Step 6: Final answer
    x = 231,255.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.