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Finding the Third Proportional to 56,274 and 131,469

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Solution

The third proportional to 56,274 and 131,469 is: 307,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,274 : 131,469 = 131,469 : x
  2. Step 2: Convert to fraction form
    56,274/131,469 = 131,469/x
  3. Step 3: Cross multiply
    56,274x = 131,469 × 131,469
  4. Step 4: Simplify right side
    56,274x = 17,284,097,961
  5. Step 5: Solve for x
    x = 17,284,097,961/56,274
  6. Step 6: Final answer
    x = 307,141.81

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.