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Finding the Third Proportional to 65,956 and 141,911

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Solution

The third proportional to 65,956 and 141,911 is: 305,335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,956 : 141,911 = 141,911 : x
  2. Step 2: Convert to fraction form
    65,956/141,911 = 141,911/x
  3. Step 3: Cross multiply
    65,956x = 141,911 × 141,911
  4. Step 4: Simplify right side
    65,956x = 20,138,731,921
  5. Step 5: Solve for x
    x = 20,138,731,921/65,956
  6. Step 6: Final answer
    x = 305,335.86

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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.