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Finding the Third Proportional to 82,034 and 125,451

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Solution

The third proportional to 82,034 and 125,451 is: 191,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,034 : 125,451 = 125,451 : x
  2. Step 2: Convert to fraction form
    82,034/125,451 = 125,451/x
  3. Step 3: Cross multiply
    82,034x = 125,451 × 125,451
  4. Step 4: Simplify right side
    82,034x = 15,737,953,401
  5. Step 5: Solve for x
    x = 15,737,953,401/82,034
  6. Step 6: Final answer
    x = 191,846.71

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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.