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Finding the Third Proportional to 86,504 and 187,777

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Solution

The third proportional to 86,504 and 187,777 is: 407,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,504 : 187,777 = 187,777 : x
  2. Step 2: Convert to fraction form
    86,504/187,777 = 187,777/x
  3. Step 3: Cross multiply
    86,504x = 187,777 × 187,777
  4. Step 4: Simplify right side
    86,504x = 35,260,201,729
  5. Step 5: Solve for x
    x = 35,260,201,729/86,504
  6. Step 6: Final answer
    x = 407,613.54

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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.