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Finding the Third Proportional to 87,540.50 and 128,205.50

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Solution

The third proportional to 87,540.50 and 128,205.50 is: 187,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,540.50 : 128,205.50 = 128,205.50 : x
  2. Step 2: Convert to fraction form
    87,540.50/128,205.50 = 128,205.50/x
  3. Step 3: Cross multiply
    87,540.50x = 128,205.50 × 128,205.50
  4. Step 4: Simplify right side
    87,540.50x = 16,436,650,230.25
  5. Step 5: Solve for x
    x = 16,436,650,230.25/87,540.50
  6. Step 6: Final answer
    x = 187,760.52

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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.