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Finding the Third Proportional to 80,496 and 125,096

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Solution

The third proportional to 80,496 and 125,096 is: 194,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,496 : 125,096 = 125,096 : x
  2. Step 2: Convert to fraction form
    80,496/125,096 = 125,096/x
  3. Step 3: Cross multiply
    80,496x = 125,096 × 125,096
  4. Step 4: Simplify right side
    80,496x = 15,649,009,216
  5. Step 5: Solve for x
    x = 15,649,009,216/80,496
  6. Step 6: Final answer
    x = 194,407.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.