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Finding the Third Proportional to 132,213.38 and 192,781.69

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Solution

The third proportional to 132,213.38 and 192,781.69 is: 281,096.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,213.38 : 192,781.69 = 192,781.69 : x
  2. Step 2: Convert to fraction form
    132,213.38/192,781.69 = 192,781.69/x
  3. Step 3: Cross multiply
    132,213.38x = 192,781.69 × 192,781.69
  4. Step 4: Simplify right side
    132,213.38x = 37,164,779,035.35
  5. Step 5: Solve for x
    x = 37,164,779,035.35/132,213.38
  6. Step 6: Final answer
    x = 281,096.97

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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.