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Finding the Third Proportional to 86,264 and 188,566

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Solution

The third proportional to 86,264 and 188,566 is: 412,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,264 : 188,566 = 188,566 : x
  2. Step 2: Convert to fraction form
    86,264/188,566 = 188,566/x
  3. Step 3: Cross multiply
    86,264x = 188,566 × 188,566
  4. Step 4: Simplify right side
    86,264x = 35,557,136,356
  5. Step 5: Solve for x
    x = 35,557,136,356/86,264
  6. Step 6: Final answer
    x = 412,189.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.