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Finding the Third Proportional to 132,213.75 and 192,782.25

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Solution

The third proportional to 132,213.75 and 192,782.25 is: 281,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,213.75 : 192,782.25 = 192,782.25 : x
  2. Step 2: Convert to fraction form
    132,213.75/192,782.25 = 192,782.25/x
  3. Step 3: Cross multiply
    132,213.75x = 192,782.25 × 192,782.25
  4. Step 4: Simplify right side
    132,213.75x = 37,164,995,915.06
  5. Step 5: Solve for x
    x = 37,164,995,915.06/132,213.75
  6. Step 6: Final answer
    x = 281,097.81

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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.