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Finding the Third Proportional to 86,866 and 187,573

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Solution

The third proportional to 86,866 and 187,573 is: 405,033.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,866 : 187,573 = 187,573 : x
  2. Step 2: Convert to fraction form
    86,866/187,573 = 187,573/x
  3. Step 3: Cross multiply
    86,866x = 187,573 × 187,573
  4. Step 4: Simplify right side
    86,866x = 35,183,630,329
  5. Step 5: Solve for x
    x = 35,183,630,329/86,866
  6. Step 6: Final answer
    x = 405,033.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.