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Finding the Third Proportional to 41,860 and 65,116

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Solution

The third proportional to 41,860 and 65,116 is: 101,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,860 : 65,116 = 65,116 : x
  2. Step 2: Convert to fraction form
    41,860/65,116 = 65,116/x
  3. Step 3: Cross multiply
    41,860x = 65,116 × 65,116
  4. Step 4: Simplify right side
    41,860x = 4,240,093,456
  5. Step 5: Solve for x
    x = 4,240,093,456/41,860
  6. Step 6: Final answer
    x = 101,292.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.