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Finding the Third Proportional to 40,421 and 95,284

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Solution

The third proportional to 40,421 and 95,284 is: 224,611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,421 : 95,284 = 95,284 : x
  2. Step 2: Convert to fraction form
    40,421/95,284 = 95,284/x
  3. Step 3: Cross multiply
    40,421x = 95,284 × 95,284
  4. Step 4: Simplify right side
    40,421x = 9,079,040,656
  5. Step 5: Solve for x
    x = 9,079,040,656/40,421
  6. Step 6: Final answer
    x = 224,611.98

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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.