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Finding the Third Proportional to 133,821.75 and 181,657.69

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Solution

The third proportional to 133,821.75 and 181,657.69 is: 246,593.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,821.75 : 181,657.69 = 181,657.69 : x
  2. Step 2: Convert to fraction form
    133,821.75/181,657.69 = 181,657.69/x
  3. Step 3: Cross multiply
    133,821.75x = 181,657.69 × 181,657.69
  4. Step 4: Simplify right side
    133,821.75x = 32,999,515,427.85
  5. Step 5: Solve for x
    x = 32,999,515,427.85/133,821.75
  6. Step 6: Final answer
    x = 246,593.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.