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Finding the Third Proportional to 86,588 and 187,936

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Solution

The third proportional to 86,588 and 187,936 is: 407,908.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,588 : 187,936 = 187,936 : x
  2. Step 2: Convert to fraction form
    86,588/187,936 = 187,936/x
  3. Step 3: Cross multiply
    86,588x = 187,936 × 187,936
  4. Step 4: Simplify right side
    86,588x = 35,319,940,096
  5. Step 5: Solve for x
    x = 35,319,940,096/86,588
  6. Step 6: Final answer
    x = 407,908.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.