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Finding the Third Proportional to 117,245.25 and 181,659.38

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Solution

The third proportional to 117,245.25 and 181,659.38 is: 281,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,245.25 : 181,659.38 = 181,659.38 : x
  2. Step 2: Convert to fraction form
    117,245.25/181,659.38 = 181,659.38/x
  3. Step 3: Cross multiply
    117,245.25x = 181,659.38 × 181,659.38
  4. Step 4: Simplify right side
    117,245.25x = 33,000,128,525.39
  5. Step 5: Solve for x
    x = 33,000,128,525.39/117,245.25
  6. Step 6: Final answer
    x = 281,462.39

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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.