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Finding the Third Proportional to 87,336 and 181,584

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Solution

The third proportional to 87,336 and 181,584 is: 377,539.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,336 : 181,584 = 181,584 : x
  2. Step 2: Convert to fraction form
    87,336/181,584 = 181,584/x
  3. Step 3: Cross multiply
    87,336x = 181,584 × 181,584
  4. Step 4: Simplify right side
    87,336x = 32,972,749,056
  5. Step 5: Solve for x
    x = 32,972,749,056/87,336
  6. Step 6: Final answer
    x = 377,539.03

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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.