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Finding the Third Proportional to 55,408 and 120,112

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Solution

The third proportional to 55,408 and 120,112 is: 260,375.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,408 : 120,112 = 120,112 : x
  2. Step 2: Convert to fraction form
    55,408/120,112 = 120,112/x
  3. Step 3: Cross multiply
    55,408x = 120,112 × 120,112
  4. Step 4: Simplify right side
    55,408x = 14,426,892,544
  5. Step 5: Solve for x
    x = 14,426,892,544/55,408
  6. Step 6: Final answer
    x = 260,375.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.