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Finding the Third Proportional to 31,235 and 65,956

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Solution

The third proportional to 31,235 and 65,956 is: 139,273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,235 : 65,956 = 65,956 : x
  2. Step 2: Convert to fraction form
    31,235/65,956 = 65,956/x
  3. Step 3: Cross multiply
    31,235x = 65,956 × 65,956
  4. Step 4: Simplify right side
    31,235x = 4,350,193,936
  5. Step 5: Solve for x
    x = 4,350,193,936/31,235
  6. Step 6: Final answer
    x = 139,273.06

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.