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Finding the Third Proportional to 116,760 and 181,164

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Solution

The third proportional to 116,760 and 181,164 is: 281,092.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,760 : 181,164 = 181,164 : x
  2. Step 2: Convert to fraction form
    116,760/181,164 = 181,164/x
  3. Step 3: Cross multiply
    116,760x = 181,164 × 181,164
  4. Step 4: Simplify right side
    116,760x = 32,820,394,896
  5. Step 5: Solve for x
    x = 32,820,394,896/116,760
  6. Step 6: Final answer
    x = 281,092.80

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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.