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Finding the Third Proportional to 82,133 and 176,542

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Solution

The third proportional to 82,133 and 176,542 is: 379,470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,133 : 176,542 = 176,542 : x
  2. Step 2: Convert to fraction form
    82,133/176,542 = 176,542/x
  3. Step 3: Cross multiply
    82,133x = 176,542 × 176,542
  4. Step 4: Simplify right side
    82,133x = 31,167,077,764
  5. Step 5: Solve for x
    x = 31,167,077,764/82,133
  6. Step 6: Final answer
    x = 379,470.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.