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Finding the Third Proportional to 87,313.50 and 188,538

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Solution

The third proportional to 87,313.50 and 188,538 is: 407,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,313.50 : 188,538 = 188,538 : x
  2. Step 2: Convert to fraction form
    87,313.50/188,538 = 188,538/x
  3. Step 3: Cross multiply
    87,313.50x = 188,538 × 188,538
  4. Step 4: Simplify right side
    87,313.50x = 35,546,577,444
  5. Step 5: Solve for x
    x = 35,546,577,444/87,313.50
  6. Step 6: Final answer
    x = 407,114.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.