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Finding the Third Proportional to 135,986 and 183,219

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Solution

The third proportional to 135,986 and 183,219 is: 246,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,986 : 183,219 = 183,219 : x
  2. Step 2: Convert to fraction form
    135,986/183,219 = 183,219/x
  3. Step 3: Cross multiply
    135,986x = 183,219 × 183,219
  4. Step 4: Simplify right side
    135,986x = 33,569,201,961
  5. Step 5: Solve for x
    x = 33,569,201,961/135,986
  6. Step 6: Final answer
    x = 246,857.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.