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Finding the Third Proportional to 55,401 and 121,880

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Solution

The third proportional to 55,401 and 121,880 is: 268,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,401 : 121,880 = 121,880 : x
  2. Step 2: Convert to fraction form
    55,401/121,880 = 121,880/x
  3. Step 3: Cross multiply
    55,401x = 121,880 × 121,880
  4. Step 4: Simplify right side
    55,401x = 14,854,734,400
  5. Step 5: Solve for x
    x = 14,854,734,400/55,401
  6. Step 6: Final answer
    x = 268,131.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.