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Finding the Third Proportional to 53,112 and 80,079

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Solution

The third proportional to 53,112 and 80,079 is: 120,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,112 : 80,079 = 80,079 : x
  2. Step 2: Convert to fraction form
    53,112/80,079 = 80,079/x
  3. Step 3: Cross multiply
    53,112x = 80,079 × 80,079
  4. Step 4: Simplify right side
    53,112x = 6,412,646,241
  5. Step 5: Solve for x
    x = 6,412,646,241/53,112
  6. Step 6: Final answer
    x = 120,738.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.