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Finding the Third Proportional to 65,867 and 102,180

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Solution

The third proportional to 65,867 and 102,180 is: 158,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,867 : 102,180 = 102,180 : x
  2. Step 2: Convert to fraction form
    65,867/102,180 = 102,180/x
  3. Step 3: Cross multiply
    65,867x = 102,180 × 102,180
  4. Step 4: Simplify right side
    65,867x = 10,440,752,400
  5. Step 5: Solve for x
    x = 10,440,752,400/65,867
  6. Step 6: Final answer
    x = 158,512.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.