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Finding the Third Proportional to 55,443 and 121,518

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Solution

The third proportional to 55,443 and 121,518 is: 266,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,443 : 121,518 = 121,518 : x
  2. Step 2: Convert to fraction form
    55,443/121,518 = 121,518/x
  3. Step 3: Cross multiply
    55,443x = 121,518 × 121,518
  4. Step 4: Simplify right side
    55,443x = 14,766,624,324
  5. Step 5: Solve for x
    x = 14,766,624,324/55,443
  6. Step 6: Final answer
    x = 266,338.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.