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Finding the Third Proportional to 80,096 and 121,872

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Solution

The third proportional to 80,096 and 121,872 is: 185,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,096 : 121,872 = 121,872 : x
  2. Step 2: Convert to fraction form
    80,096/121,872 = 121,872/x
  3. Step 3: Cross multiply
    80,096x = 121,872 × 121,872
  4. Step 4: Simplify right side
    80,096x = 14,852,784,384
  5. Step 5: Solve for x
    x = 14,852,784,384/80,096
  6. Step 6: Final answer
    x = 185,437.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.