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Finding the Third Proportional to 82,065.38 and 176,604.75

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Solution

The third proportional to 82,065.38 and 176,604.75 is: 380,053.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,065.38 : 176,604.75 = 176,604.75 : x
  2. Step 2: Convert to fraction form
    82,065.38/176,604.75 = 176,604.75/x
  3. Step 3: Cross multiply
    82,065.38x = 176,604.75 × 176,604.75
  4. Step 4: Simplify right side
    82,065.38x = 31,189,237,722.56
  5. Step 5: Solve for x
    x = 31,189,237,722.56/82,065.38
  6. Step 6: Final answer
    x = 380,053.56

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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.