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Finding the Third Proportional to 87,697.13 and 128,265.19

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Solution

The third proportional to 87,697.13 and 128,265.19 is: 187,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,697.13 : 128,265.19 = 128,265.19 : x
  2. Step 2: Convert to fraction form
    87,697.13/128,265.19 = 128,265.19/x
  3. Step 3: Cross multiply
    87,697.13x = 128,265.19 × 128,265.19
  4. Step 4: Simplify right side
    87,697.13x = 16,451,958,324.41
  5. Step 5: Solve for x
    x = 16,451,958,324.41/87,697.13
  6. Step 6: Final answer
    x = 187,599.75

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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.