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Finding the Third Proportional to 131,206.50 and 189,644.63

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Solution

The third proportional to 131,206.50 and 189,644.63 is: 274,110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,206.50 : 189,644.63 = 189,644.63 : x
  2. Step 2: Convert to fraction form
    131,206.50/189,644.63 = 189,644.63/x
  3. Step 3: Cross multiply
    131,206.50x = 189,644.63 × 189,644.63
  4. Step 4: Simplify right side
    131,206.50x = 35,965,083,791.39
  5. Step 5: Solve for x
    x = 35,965,083,791.39/131,206.50
  6. Step 6: Final answer
    x = 274,110.53

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.