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Finding the Third Proportional to 135,840 and 181,161

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Solution

The third proportional to 135,840 and 181,161 is: 241,602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,840 : 181,161 = 181,161 : x
  2. Step 2: Convert to fraction form
    135,840/181,161 = 181,161/x
  3. Step 3: Cross multiply
    135,840x = 181,161 × 181,161
  4. Step 4: Simplify right side
    135,840x = 32,819,307,921
  5. Step 5: Solve for x
    x = 32,819,307,921/135,840
  6. Step 6: Final answer
    x = 241,602.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.