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Finding the Third Proportional to 132,900.75 and 213,189.75

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Solution

The third proportional to 132,900.75 and 213,189.75 is: 341,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,900.75 : 213,189.75 = 213,189.75 : x
  2. Step 2: Convert to fraction form
    132,900.75/213,189.75 = 213,189.75/x
  3. Step 3: Cross multiply
    132,900.75x = 213,189.75 × 213,189.75
  4. Step 4: Simplify right side
    132,900.75x = 45,449,869,505.06
  5. Step 5: Solve for x
    x = 45,449,869,505.06/132,900.75
  6. Step 6: Final answer
    x = 341,983.54

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.