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Finding the Third Proportional to 86,967 and 181,467

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Solution

The third proportional to 86,967 and 181,467 is: 378,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,967 : 181,467 = 181,467 : x
  2. Step 2: Convert to fraction form
    86,967/181,467 = 181,467/x
  3. Step 3: Cross multiply
    86,967x = 181,467 × 181,467
  4. Step 4: Simplify right side
    86,967x = 32,930,272,089
  5. Step 5: Solve for x
    x = 32,930,272,089/86,967
  6. Step 6: Final answer
    x = 378,652.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.