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Finding the Third Proportional to 53,204 and 82,326

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Solution

The third proportional to 53,204 and 82,326 is: 127,388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,204 : 82,326 = 82,326 : x
  2. Step 2: Convert to fraction form
    53,204/82,326 = 82,326/x
  3. Step 3: Cross multiply
    53,204x = 82,326 × 82,326
  4. Step 4: Simplify right side
    53,204x = 6,777,570,276
  5. Step 5: Solve for x
    x = 6,777,570,276/53,204
  6. Step 6: Final answer
    x = 127,388.36

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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.