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Finding the Third Proportional to 117,242.25 and 181,655.25

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Solution

The third proportional to 117,242.25 and 181,655.25 is: 281,456.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,242.25 : 181,655.25 = 181,655.25 : x
  2. Step 2: Convert to fraction form
    117,242.25/181,655.25 = 181,655.25/x
  3. Step 3: Cross multiply
    117,242.25x = 181,655.25 × 181,655.25
  4. Step 4: Simplify right side
    117,242.25x = 32,998,629,852.56
  5. Step 5: Solve for x
    x = 32,998,629,852.56/117,242.25
  6. Step 6: Final answer
    x = 281,456.81

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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.