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Finding the Third Proportional to 87,113.25 and 190,082.25

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Solution

The third proportional to 87,113.25 and 190,082.25 is: 414,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,113.25 : 190,082.25 = 190,082.25 : x
  2. Step 2: Convert to fraction form
    87,113.25/190,082.25 = 190,082.25/x
  3. Step 3: Cross multiply
    87,113.25x = 190,082.25 × 190,082.25
  4. Step 4: Simplify right side
    87,113.25x = 36,131,261,765.06
  5. Step 5: Solve for x
    x = 36,131,261,765.06/87,113.25
  6. Step 6: Final answer
    x = 414,761.95

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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.