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Finding the Third Proportional to 86,559 and 186,930

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Solution

The third proportional to 86,559 and 186,930 is: 403,687.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,559 : 186,930 = 186,930 : x
  2. Step 2: Convert to fraction form
    86,559/186,930 = 186,930/x
  3. Step 3: Cross multiply
    86,559x = 186,930 × 186,930
  4. Step 4: Simplify right side
    86,559x = 34,942,824,900
  5. Step 5: Solve for x
    x = 34,942,824,900/86,559
  6. Step 6: Final answer
    x = 403,687.95

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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.