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Finding the Third Proportional to 95,121 and 200,852

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Solution

The third proportional to 95,121 and 200,852 is: 424,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,121 : 200,852 = 200,852 : x
  2. Step 2: Convert to fraction form
    95,121/200,852 = 200,852/x
  3. Step 3: Cross multiply
    95,121x = 200,852 × 200,852
  4. Step 4: Simplify right side
    95,121x = 40,341,525,904
  5. Step 5: Solve for x
    x = 40,341,525,904/95,121
  6. Step 6: Final answer
    x = 424,107.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.