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Finding the Third Proportional to 40,419 and 95,279

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Solution

The third proportional to 40,419 and 95,279 is: 224,599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,419 : 95,279 = 95,279 : x
  2. Step 2: Convert to fraction form
    40,419/95,279 = 95,279/x
  3. Step 3: Cross multiply
    40,419x = 95,279 × 95,279
  4. Step 4: Simplify right side
    40,419x = 9,078,087,841
  5. Step 5: Solve for x
    x = 9,078,087,841/40,419
  6. Step 6: Final answer
    x = 224,599.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.