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Finding the Third Proportional to 87,394.50 and 190,665

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Solution

The third proportional to 87,394.50 and 190,665 is: 415,966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,394.50 : 190,665 = 190,665 : x
  2. Step 2: Convert to fraction form
    87,394.50/190,665 = 190,665/x
  3. Step 3: Cross multiply
    87,394.50x = 190,665 × 190,665
  4. Step 4: Simplify right side
    87,394.50x = 36,353,142,225
  5. Step 5: Solve for x
    x = 36,353,142,225/87,394.50
  6. Step 6: Final answer
    x = 415,966.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.