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Finding the Third Proportional to 86,249 and 187,685

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Solution

The third proportional to 86,249 and 187,685 is: 408,418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,249 : 187,685 = 187,685 : x
  2. Step 2: Convert to fraction form
    86,249/187,685 = 187,685/x
  3. Step 3: Cross multiply
    86,249x = 187,685 × 187,685
  4. Step 4: Simplify right side
    86,249x = 35,225,659,225
  5. Step 5: Solve for x
    x = 35,225,659,225/86,249
  6. Step 6: Final answer
    x = 408,418.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.