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Finding the Third Proportional to 87,475 and 188,774

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Solution

The third proportional to 87,475 and 188,774 is: 407,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,475 : 188,774 = 188,774 : x
  2. Step 2: Convert to fraction form
    87,475/188,774 = 188,774/x
  3. Step 3: Cross multiply
    87,475x = 188,774 × 188,774
  4. Step 4: Simplify right side
    87,475x = 35,635,623,076
  5. Step 5: Solve for x
    x = 35,635,623,076/87,475
  6. Step 6: Final answer
    x = 407,380.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.