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Finding the Third Proportional to 87,659.25 and 186,240

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Solution

The third proportional to 87,659.25 and 186,240 is: 395,683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,659.25 : 186,240 = 186,240 : x
  2. Step 2: Convert to fraction form
    87,659.25/186,240 = 186,240/x
  3. Step 3: Cross multiply
    87,659.25x = 186,240 × 186,240
  4. Step 4: Simplify right side
    87,659.25x = 34,685,337,600
  5. Step 5: Solve for x
    x = 34,685,337,600/87,659.25
  6. Step 6: Final answer
    x = 395,683.71

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.