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Finding the Third Proportional to 65,468 and 140,956

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Solution

The third proportional to 65,468 and 140,956 is: 303,485.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,468 : 140,956 = 140,956 : x
  2. Step 2: Convert to fraction form
    65,468/140,956 = 140,956/x
  3. Step 3: Cross multiply
    65,468x = 140,956 × 140,956
  4. Step 4: Simplify right side
    65,468x = 19,868,593,936
  5. Step 5: Solve for x
    x = 19,868,593,936/65,468
  6. Step 6: Final answer
    x = 303,485.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.