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Finding the Third Proportional to 79,538 and 107,635

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Solution

The third proportional to 79,538 and 107,635 is: 145,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,538 : 107,635 = 107,635 : x
  2. Step 2: Convert to fraction form
    79,538/107,635 = 107,635/x
  3. Step 3: Cross multiply
    79,538x = 107,635 × 107,635
  4. Step 4: Simplify right side
    79,538x = 11,585,293,225
  5. Step 5: Solve for x
    x = 11,585,293,225/79,538
  6. Step 6: Final answer
    x = 145,657.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.