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Finding the Third Proportional to 87,890.06 and 182,682.84

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Solution

The third proportional to 87,890.06 and 182,682.84 is: 379,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,890.06 : 182,682.84 = 182,682.84 : x
  2. Step 2: Convert to fraction form
    87,890.06/182,682.84 = 182,682.84/x
  3. Step 3: Cross multiply
    87,890.06x = 182,682.84 × 182,682.84
  4. Step 4: Simplify right side
    87,890.06x = 33,373,021,400.59
  5. Step 5: Solve for x
    x = 33,373,021,400.59/87,890.06
  6. Step 6: Final answer
    x = 379,713.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.