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Finding the Third Proportional to 86,967 and 183,279

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Solution

The third proportional to 86,967 and 183,279 is: 386,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,967 : 183,279 = 183,279 : x
  2. Step 2: Convert to fraction form
    86,967/183,279 = 183,279/x
  3. Step 3: Cross multiply
    86,967x = 183,279 × 183,279
  4. Step 4: Simplify right side
    86,967x = 33,591,191,841
  5. Step 5: Solve for x
    x = 33,591,191,841/86,967
  6. Step 6: Final answer
    x = 386,252.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.