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Finding the Third Proportional to 81,927 and 125,271

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Solution

The third proportional to 81,927 and 125,271 is: 191,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,927 : 125,271 = 125,271 : x
  2. Step 2: Convert to fraction form
    81,927/125,271 = 125,271/x
  3. Step 3: Cross multiply
    81,927x = 125,271 × 125,271
  4. Step 4: Simplify right side
    81,927x = 15,692,823,441
  5. Step 5: Solve for x
    x = 15,692,823,441/81,927
  6. Step 6: Final answer
    x = 191,546.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.