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Finding the Third Proportional to 81,564 and 125,408

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Solution

The third proportional to 81,564 and 125,408 is: 192,819.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,564 : 125,408 = 125,408 : x
  2. Step 2: Convert to fraction form
    81,564/125,408 = 125,408/x
  3. Step 3: Cross multiply
    81,564x = 125,408 × 125,408
  4. Step 4: Simplify right side
    81,564x = 15,727,166,464
  5. Step 5: Solve for x
    x = 15,727,166,464/81,564
  6. Step 6: Final answer
    x = 192,819.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.