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Finding the Third Proportional to 55,492 and 122,295

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Solution

The third proportional to 55,492 and 122,295 is: 269,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,492 : 122,295 = 122,295 : x
  2. Step 2: Convert to fraction form
    55,492/122,295 = 122,295/x
  3. Step 3: Cross multiply
    55,492x = 122,295 × 122,295
  4. Step 4: Simplify right side
    55,492x = 14,956,067,025
  5. Step 5: Solve for x
    x = 14,956,067,025/55,492
  6. Step 6: Final answer
    x = 269,517.53

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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.