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Finding the Third Proportional to 81,408 and 127,326

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Solution

The third proportional to 81,408 and 127,326 is: 199,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,408 : 127,326 = 127,326 : x
  2. Step 2: Convert to fraction form
    81,408/127,326 = 127,326/x
  3. Step 3: Cross multiply
    81,408x = 127,326 × 127,326
  4. Step 4: Simplify right side
    81,408x = 16,211,910,276
  5. Step 5: Solve for x
    x = 16,211,910,276/81,408
  6. Step 6: Final answer
    x = 199,143.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.