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Finding the Third Proportional to 117,236 and 181,645

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Solution

The third proportional to 117,236 and 181,645 is: 281,440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,236 : 181,645 = 181,645 : x
  2. Step 2: Convert to fraction form
    117,236/181,645 = 181,645/x
  3. Step 3: Cross multiply
    117,236x = 181,645 × 181,645
  4. Step 4: Simplify right side
    117,236x = 32,994,906,025
  5. Step 5: Solve for x
    x = 32,994,906,025/117,236
  6. Step 6: Final answer
    x = 281,440.05

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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.