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Finding the Third Proportional to 86,969 and 183,274

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Solution

The third proportional to 86,969 and 183,274 is: 386,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,969 : 183,274 = 183,274 : x
  2. Step 2: Convert to fraction form
    86,969/183,274 = 183,274/x
  3. Step 3: Cross multiply
    86,969x = 183,274 × 183,274
  4. Step 4: Simplify right side
    86,969x = 33,589,359,076
  5. Step 5: Solve for x
    x = 33,589,359,076/86,969
  6. Step 6: Final answer
    x = 386,222.21

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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.