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Finding the Third Proportional to 60,401 and 122,422

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Solution

The third proportional to 60,401 and 122,422 is: 248,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,401 : 122,422 = 122,422 : x
  2. Step 2: Convert to fraction form
    60,401/122,422 = 122,422/x
  3. Step 3: Cross multiply
    60,401x = 122,422 × 122,422
  4. Step 4: Simplify right side
    60,401x = 14,987,146,084
  5. Step 5: Solve for x
    x = 14,987,146,084/60,401
  6. Step 6: Final answer
    x = 248,127.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.