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Finding the Third Proportional to 89,247.50 and 187,699

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Solution

The third proportional to 89,247.50 and 187,699 is: 394,755.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,247.50 : 187,699 = 187,699 : x
  2. Step 2: Convert to fraction form
    89,247.50/187,699 = 187,699/x
  3. Step 3: Cross multiply
    89,247.50x = 187,699 × 187,699
  4. Step 4: Simplify right side
    89,247.50x = 35,230,914,601
  5. Step 5: Solve for x
    x = 35,230,914,601/89,247.50
  6. Step 6: Final answer
    x = 394,755.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.