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Finding the Third Proportional to 55,494 and 121,353

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Solution

The third proportional to 55,494 and 121,353 is: 265,371.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,494 : 121,353 = 121,353 : x
  2. Step 2: Convert to fraction form
    55,494/121,353 = 121,353/x
  3. Step 3: Cross multiply
    55,494x = 121,353 × 121,353
  4. Step 4: Simplify right side
    55,494x = 14,726,550,609
  5. Step 5: Solve for x
    x = 14,726,550,609/55,494
  6. Step 6: Final answer
    x = 265,371.94

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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.