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Finding the Third Proportional to 81,664 and 125,416

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Solution

The third proportional to 81,664 and 125,416 is: 192,608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,664 : 125,416 = 125,416 : x
  2. Step 2: Convert to fraction form
    81,664/125,416 = 125,416/x
  3. Step 3: Cross multiply
    81,664x = 125,416 × 125,416
  4. Step 4: Simplify right side
    81,664x = 15,729,173,056
  5. Step 5: Solve for x
    x = 15,729,173,056/81,664
  6. Step 6: Final answer
    x = 192,608.41

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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.