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Finding the Third Proportional to 65,405 and 97,847

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Solution

The third proportional to 65,405 and 97,847 is: 146,380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,405 : 97,847 = 97,847 : x
  2. Step 2: Convert to fraction form
    65,405/97,847 = 97,847/x
  3. Step 3: Cross multiply
    65,405x = 97,847 × 97,847
  4. Step 4: Simplify right side
    65,405x = 9,574,035,409
  5. Step 5: Solve for x
    x = 9,574,035,409/65,405
  6. Step 6: Final answer
    x = 146,380.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.