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Finding the Third Proportional to 104,204 and 161,256

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Solution

The third proportional to 104,204 and 161,256 is: 249,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,204 : 161,256 = 161,256 : x
  2. Step 2: Convert to fraction form
    104,204/161,256 = 161,256/x
  3. Step 3: Cross multiply
    104,204x = 161,256 × 161,256
  4. Step 4: Simplify right side
    104,204x = 26,003,497,536
  5. Step 5: Solve for x
    x = 26,003,497,536/104,204
  6. Step 6: Final answer
    x = 249,544.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.