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Finding the Third Proportional to 86,267 and 185,647

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Solution

The third proportional to 86,267 and 185,647 is: 399,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,267 : 185,647 = 185,647 : x
  2. Step 2: Convert to fraction form
    86,267/185,647 = 185,647/x
  3. Step 3: Cross multiply
    86,267x = 185,647 × 185,647
  4. Step 4: Simplify right side
    86,267x = 34,464,808,609
  5. Step 5: Solve for x
    x = 34,464,808,609/86,267
  6. Step 6: Final answer
    x = 399,513.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.