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Finding the Third Proportional to 83,477 and 125,191

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Solution

The third proportional to 83,477 and 125,191 is: 187,749.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,477 : 125,191 = 125,191 : x
  2. Step 2: Convert to fraction form
    83,477/125,191 = 125,191/x
  3. Step 3: Cross multiply
    83,477x = 125,191 × 125,191
  4. Step 4: Simplify right side
    83,477x = 15,672,786,481
  5. Step 5: Solve for x
    x = 15,672,786,481/83,477
  6. Step 6: Final answer
    x = 187,749.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.