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Finding the Third Proportional to 135,652 and 181,230

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Solution

The third proportional to 135,652 and 181,230 is: 242,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,652 : 181,230 = 181,230 : x
  2. Step 2: Convert to fraction form
    135,652/181,230 = 181,230/x
  3. Step 3: Cross multiply
    135,652x = 181,230 × 181,230
  4. Step 4: Simplify right side
    135,652x = 32,844,312,900
  5. Step 5: Solve for x
    x = 32,844,312,900/135,652
  6. Step 6: Final answer
    x = 242,121.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.