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Finding the Third Proportional to 87,682.71 and 128,401.03

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Solution

The third proportional to 87,682.71 and 128,401.03 is: 188,028.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,682.71 : 128,401.03 = 128,401.03 : x
  2. Step 2: Convert to fraction form
    87,682.71/128,401.03 = 128,401.03/x
  3. Step 3: Cross multiply
    87,682.71x = 128,401.03 × 128,401.03
  4. Step 4: Simplify right side
    87,682.71x = 16,486,824,826.06
  5. Step 5: Solve for x
    x = 16,486,824,826.06/87,682.71
  6. Step 6: Final answer
    x = 188,028.23

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.