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Finding the Third Proportional to 60,399 and 122,418

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Solution

The third proportional to 60,399 and 122,418 is: 248,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,399 : 122,418 = 122,418 : x
  2. Step 2: Convert to fraction form
    60,399/122,418 = 122,418/x
  3. Step 3: Cross multiply
    60,399x = 122,418 × 122,418
  4. Step 4: Simplify right side
    60,399x = 14,986,166,724
  5. Step 5: Solve for x
    x = 14,986,166,724/60,399
  6. Step 6: Final answer
    x = 248,119.45

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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.