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Finding the Third Proportional to 65,170 and 100,750

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Solution

The third proportional to 65,170 and 100,750 is: 155,755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,170 : 100,750 = 100,750 : x
  2. Step 2: Convert to fraction form
    65,170/100,750 = 100,750/x
  3. Step 3: Cross multiply
    65,170x = 100,750 × 100,750
  4. Step 4: Simplify right side
    65,170x = 10,150,562,500
  5. Step 5: Solve for x
    x = 10,150,562,500/65,170
  6. Step 6: Final answer
    x = 155,755.14

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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.