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Finding the Third Proportional to 86,264 and 188,560

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Solution

The third proportional to 86,264 and 188,560 is: 412,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,264 : 188,560 = 188,560 : x
  2. Step 2: Convert to fraction form
    86,264/188,560 = 188,560/x
  3. Step 3: Cross multiply
    86,264x = 188,560 × 188,560
  4. Step 4: Simplify right side
    86,264x = 35,554,873,600
  5. Step 5: Solve for x
    x = 35,554,873,600/86,264
  6. Step 6: Final answer
    x = 412,163.52

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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.