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Finding the Third Proportional to 65,723 and 102,965

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Solution

The third proportional to 65,723 and 102,965 is: 161,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,723 : 102,965 = 102,965 : x
  2. Step 2: Convert to fraction form
    65,723/102,965 = 102,965/x
  3. Step 3: Cross multiply
    65,723x = 102,965 × 102,965
  4. Step 4: Simplify right side
    65,723x = 10,601,791,225
  5. Step 5: Solve for x
    x = 10,601,791,225/65,723
  6. Step 6: Final answer
    x = 161,310.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.