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Finding the Third Proportional to 86,967 and 183,270

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Solution

The third proportional to 86,967 and 183,270 is: 386,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,967 : 183,270 = 183,270 : x
  2. Step 2: Convert to fraction form
    86,967/183,270 = 183,270/x
  3. Step 3: Cross multiply
    86,967x = 183,270 × 183,270
  4. Step 4: Simplify right side
    86,967x = 33,587,892,900
  5. Step 5: Solve for x
    x = 33,587,892,900/86,967
  6. Step 6: Final answer
    x = 386,214.23

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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.