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Finding the Third Proportional to 95,995 and 208,742

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Solution

The third proportional to 95,995 and 208,742 is: 453,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,995 : 208,742 = 208,742 : x
  2. Step 2: Convert to fraction form
    95,995/208,742 = 208,742/x
  3. Step 3: Cross multiply
    95,995x = 208,742 × 208,742
  4. Step 4: Simplify right side
    95,995x = 43,573,222,564
  5. Step 5: Solve for x
    x = 43,573,222,564/95,995
  6. Step 6: Final answer
    x = 453,911.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.