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Finding the Third Proportional to 86,850 and 189,252

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Solution

The third proportional to 86,850 and 189,252 is: 412,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,850 : 189,252 = 189,252 : x
  2. Step 2: Convert to fraction form
    86,850/189,252 = 189,252/x
  3. Step 3: Cross multiply
    86,850x = 189,252 × 189,252
  4. Step 4: Simplify right side
    86,850x = 35,816,319,504
  5. Step 5: Solve for x
    x = 35,816,319,504/86,850
  6. Step 6: Final answer
    x = 412,392.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.