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Finding the Third Proportional to 95,512 and 209,168

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Solution

The third proportional to 95,512 and 209,168 is: 458,070.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,512 : 209,168 = 209,168 : x
  2. Step 2: Convert to fraction form
    95,512/209,168 = 209,168/x
  3. Step 3: Cross multiply
    95,512x = 209,168 × 209,168
  4. Step 4: Simplify right side
    95,512x = 43,751,252,224
  5. Step 5: Solve for x
    x = 43,751,252,224/95,512
  6. Step 6: Final answer
    x = 458,070.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.