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Finding the Third Proportional to 117,504 and 182,008

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Solution

The third proportional to 117,504 and 182,008 is: 281,921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,504 : 182,008 = 182,008 : x
  2. Step 2: Convert to fraction form
    117,504/182,008 = 182,008/x
  3. Step 3: Cross multiply
    117,504x = 182,008 × 182,008
  4. Step 4: Simplify right side
    117,504x = 33,126,912,064
  5. Step 5: Solve for x
    x = 33,126,912,064/117,504
  6. Step 6: Final answer
    x = 281,921.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.