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Finding the Third Proportional to 87,223.50 and 100,433.25

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Solution

The third proportional to 87,223.50 and 100,433.25 is: 115,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,223.50 : 100,433.25 = 100,433.25 : x
  2. Step 2: Convert to fraction form
    87,223.50/100,433.25 = 100,433.25/x
  3. Step 3: Cross multiply
    87,223.50x = 100,433.25 × 100,433.25
  4. Step 4: Simplify right side
    87,223.50x = 10,086,837,705.56
  5. Step 5: Solve for x
    x = 10,086,837,705.56/87,223.50
  6. Step 6: Final answer
    x = 115,643.58

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.