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Finding the Third Proportional to 87,132 and 188,890

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Solution

The third proportional to 87,132 and 188,890 is: 409,487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,132 : 188,890 = 188,890 : x
  2. Step 2: Convert to fraction form
    87,132/188,890 = 188,890/x
  3. Step 3: Cross multiply
    87,132x = 188,890 × 188,890
  4. Step 4: Simplify right side
    87,132x = 35,679,432,100
  5. Step 5: Solve for x
    x = 35,679,432,100/87,132
  6. Step 6: Final answer
    x = 409,487.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.