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Finding the Third Proportional to 86,786 and 188,548

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Solution

The third proportional to 86,786 and 188,548 is: 409,632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,786 : 188,548 = 188,548 : x
  2. Step 2: Convert to fraction form
    86,786/188,548 = 188,548/x
  3. Step 3: Cross multiply
    86,786x = 188,548 × 188,548
  4. Step 4: Simplify right side
    86,786x = 35,550,348,304
  5. Step 5: Solve for x
    x = 35,550,348,304/86,786
  6. Step 6: Final answer
    x = 409,632.29

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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.