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Finding the Third Proportional to 87,108.75 and 190,073.25

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Solution

The third proportional to 87,108.75 and 190,073.25 is: 414,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,108.75 : 190,073.25 = 190,073.25 : x
  2. Step 2: Convert to fraction form
    87,108.75/190,073.25 = 190,073.25/x
  3. Step 3: Cross multiply
    87,108.75x = 190,073.25 × 190,073.25
  4. Step 4: Simplify right side
    87,108.75x = 36,127,840,365.56
  5. Step 5: Solve for x
    x = 36,127,840,365.56/87,108.75
  6. Step 6: Final answer
    x = 414,744.10

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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.