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Finding the Third Proportional to 86,949 and 183,236

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Solution

The third proportional to 86,949 and 183,236 is: 386,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,949 : 183,236 = 183,236 : x
  2. Step 2: Convert to fraction form
    86,949/183,236 = 183,236/x
  3. Step 3: Cross multiply
    86,949x = 183,236 × 183,236
  4. Step 4: Simplify right side
    86,949x = 33,575,431,696
  5. Step 5: Solve for x
    x = 33,575,431,696/86,949
  6. Step 6: Final answer
    x = 386,150.87

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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.