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Finding the Third Proportional to 87,030 and 187,884

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Solution

The third proportional to 87,030 and 187,884 is: 405,611.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,030 : 187,884 = 187,884 : x
  2. Step 2: Convert to fraction form
    87,030/187,884 = 187,884/x
  3. Step 3: Cross multiply
    87,030x = 187,884 × 187,884
  4. Step 4: Simplify right side
    87,030x = 35,300,397,456
  5. Step 5: Solve for x
    x = 35,300,397,456/87,030
  6. Step 6: Final answer
    x = 405,611.83

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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.