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Finding the Third Proportional to 66,219 and 100,857

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Solution

The third proportional to 66,219 and 100,857 is: 153,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,219 : 100,857 = 100,857 : x
  2. Step 2: Convert to fraction form
    66,219/100,857 = 100,857/x
  3. Step 3: Cross multiply
    66,219x = 100,857 × 100,857
  4. Step 4: Simplify right side
    66,219x = 10,172,134,449
  5. Step 5: Solve for x
    x = 10,172,134,449/66,219
  6. Step 6: Final answer
    x = 153,613.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.