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Finding the Third Proportional to 87,104 and 190,813

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Solution

The third proportional to 87,104 and 190,813 is: 418,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,104 : 190,813 = 190,813 : x
  2. Step 2: Convert to fraction form
    87,104/190,813 = 190,813/x
  3. Step 3: Cross multiply
    87,104x = 190,813 × 190,813
  4. Step 4: Simplify right side
    87,104x = 36,409,600,969
  5. Step 5: Solve for x
    x = 36,409,600,969/87,104
  6. Step 6: Final answer
    x = 418,001.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.