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Finding the Third Proportional to 87,286.50 and 133,470

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Solution

The third proportional to 87,286.50 and 133,470 is: 204,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,286.50 : 133,470 = 133,470 : x
  2. Step 2: Convert to fraction form
    87,286.50/133,470 = 133,470/x
  3. Step 3: Cross multiply
    87,286.50x = 133,470 × 133,470
  4. Step 4: Simplify right side
    87,286.50x = 17,814,240,900
  5. Step 5: Solve for x
    x = 17,814,240,900/87,286.50
  6. Step 6: Final answer
    x = 204,089.30

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.