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Finding the Third Proportional to 117,002 and 181,500

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Solution

The third proportional to 117,002 and 181,500 is: 281,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,002 : 181,500 = 181,500 : x
  2. Step 2: Convert to fraction form
    117,002/181,500 = 181,500/x
  3. Step 3: Cross multiply
    117,002x = 181,500 × 181,500
  4. Step 4: Simplify right side
    117,002x = 32,942,250,000
  5. Step 5: Solve for x
    x = 32,942,250,000/117,002
  6. Step 6: Final answer
    x = 281,552.88

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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.