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Finding the Third Proportional to 65,848 and 142,936

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Solution

The third proportional to 65,848 and 142,936 is: 310,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,848 : 142,936 = 142,936 : x
  2. Step 2: Convert to fraction form
    65,848/142,936 = 142,936/x
  3. Step 3: Cross multiply
    65,848x = 142,936 × 142,936
  4. Step 4: Simplify right side
    65,848x = 20,430,700,096
  5. Step 5: Solve for x
    x = 20,430,700,096/65,848
  6. Step 6: Final answer
    x = 310,270.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.