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Finding the Third Proportional to 82,009.13 and 176,473.69

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Solution

The third proportional to 82,009.13 and 176,473.69 is: 379,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,009.13 : 176,473.69 = 176,473.69 : x
  2. Step 2: Convert to fraction form
    82,009.13/176,473.69 = 176,473.69/x
  3. Step 3: Cross multiply
    82,009.13x = 176,473.69 × 176,473.69
  4. Step 4: Simplify right side
    82,009.13x = 31,142,962,379.85
  5. Step 5: Solve for x
    x = 31,142,962,379.85/82,009.13
  6. Step 6: Final answer
    x = 379,749.97

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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.