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Finding the Third Proportional to 134,016 and 182,006

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Solution

The third proportional to 134,016 and 182,006 is: 247,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,016 : 182,006 = 182,006 : x
  2. Step 2: Convert to fraction form
    134,016/182,006 = 182,006/x
  3. Step 3: Cross multiply
    134,016x = 182,006 × 182,006
  4. Step 4: Simplify right side
    134,016x = 33,126,184,036
  5. Step 5: Solve for x
    x = 33,126,184,036/134,016
  6. Step 6: Final answer
    x = 247,180.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.