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Finding the Third Proportional to 55,492 and 122,414

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Solution

The third proportional to 55,492 and 122,414 is: 270,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,492 : 122,414 = 122,414 : x
  2. Step 2: Convert to fraction form
    55,492/122,414 = 122,414/x
  3. Step 3: Cross multiply
    55,492x = 122,414 × 122,414
  4. Step 4: Simplify right side
    55,492x = 14,985,187,396
  5. Step 5: Solve for x
    x = 14,985,187,396/55,492
  6. Step 6: Final answer
    x = 270,042.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.