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Finding the Third Proportional to 65,367 and 100,611

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Solution

The third proportional to 65,367 and 100,611 is: 154,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,367 : 100,611 = 100,611 : x
  2. Step 2: Convert to fraction form
    65,367/100,611 = 100,611/x
  3. Step 3: Cross multiply
    65,367x = 100,611 × 100,611
  4. Step 4: Simplify right side
    65,367x = 10,122,573,321
  5. Step 5: Solve for x
    x = 10,122,573,321/65,367
  6. Step 6: Final answer
    x = 154,857.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.