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Finding the Third Proportional to 117,264 and 181,836

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Solution

The third proportional to 117,264 and 181,836 is: 281,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,264 : 181,836 = 181,836 : x
  2. Step 2: Convert to fraction form
    117,264/181,836 = 181,836/x
  3. Step 3: Cross multiply
    117,264x = 181,836 × 181,836
  4. Step 4: Simplify right side
    117,264x = 33,064,330,896
  5. Step 5: Solve for x
    x = 33,064,330,896/117,264
  6. Step 6: Final answer
    x = 281,964.89

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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.