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Finding the Third Proportional to 82,562 and 119,811

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Solution

The third proportional to 82,562 and 119,811 is: 173,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,562 : 119,811 = 119,811 : x
  2. Step 2: Convert to fraction form
    82,562/119,811 = 119,811/x
  3. Step 3: Cross multiply
    82,562x = 119,811 × 119,811
  4. Step 4: Simplify right side
    82,562x = 14,354,675,721
  5. Step 5: Solve for x
    x = 14,354,675,721/82,562
  6. Step 6: Final answer
    x = 173,865.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.