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Finding the Third Proportional to 132,213.09 and 192,783.38

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Solution

The third proportional to 132,213.09 and 192,783.38 is: 281,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,213.09 : 192,783.38 = 192,783.38 : x
  2. Step 2: Convert to fraction form
    132,213.09/192,783.38 = 192,783.38/x
  3. Step 3: Cross multiply
    132,213.09x = 192,783.38 × 192,783.38
  4. Step 4: Simplify right side
    132,213.09x = 37,165,429,676.39
  5. Step 5: Solve for x
    x = 37,165,429,676.39/132,213.09
  6. Step 6: Final answer
    x = 281,102.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.