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Finding the Third Proportional to 65,832 and 95,760

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Solution

The third proportional to 65,832 and 95,760 is: 139,293.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,832 : 95,760 = 95,760 : x
  2. Step 2: Convert to fraction form
    65,832/95,760 = 95,760/x
  3. Step 3: Cross multiply
    65,832x = 95,760 × 95,760
  4. Step 4: Simplify right side
    65,832x = 9,169,977,600
  5. Step 5: Solve for x
    x = 9,169,977,600/65,832
  6. Step 6: Final answer
    x = 139,293.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.