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Finding the Third Proportional to 87,070.50 and 189,996.75

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Solution

The third proportional to 87,070.50 and 189,996.75 is: 414,592.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,070.50 : 189,996.75 = 189,996.75 : x
  2. Step 2: Convert to fraction form
    87,070.50/189,996.75 = 189,996.75/x
  3. Step 3: Cross multiply
    87,070.50x = 189,996.75 × 189,996.75
  4. Step 4: Simplify right side
    87,070.50x = 36,098,765,010.56
  5. Step 5: Solve for x
    x = 36,098,765,010.56/87,070.50
  6. Step 6: Final answer
    x = 414,592.37

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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.