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Finding the Third Proportional to 53,408 and 80,112

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Solution

The third proportional to 53,408 and 80,112 is: 120,168

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,408 : 80,112 = 80,112 : x
  2. Step 2: Convert to fraction form
    53,408/80,112 = 80,112/x
  3. Step 3: Cross multiply
    53,408x = 80,112 × 80,112
  4. Step 4: Simplify right side
    53,408x = 6,417,932,544
  5. Step 5: Solve for x
    x = 6,417,932,544/53,408
  6. Step 6: Final answer
    x = 120,168

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.