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Finding the Third Proportional to 65,016 and 97,956

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Solution

The third proportional to 65,016 and 97,956 is: 147,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,016 : 97,956 = 97,956 : x
  2. Step 2: Convert to fraction form
    65,016/97,956 = 97,956/x
  3. Step 3: Cross multiply
    65,016x = 97,956 × 97,956
  4. Step 4: Simplify right side
    65,016x = 9,595,377,936
  5. Step 5: Solve for x
    x = 9,595,377,936/65,016
  6. Step 6: Final answer
    x = 147,584.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.