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Finding the Third Proportional to 60,336 and 126,180

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Solution

The third proportional to 60,336 and 126,180 is: 263,878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,336 : 126,180 = 126,180 : x
  2. Step 2: Convert to fraction form
    60,336/126,180 = 126,180/x
  3. Step 3: Cross multiply
    60,336x = 126,180 × 126,180
  4. Step 4: Simplify right side
    60,336x = 15,921,392,400
  5. Step 5: Solve for x
    x = 15,921,392,400/60,336
  6. Step 6: Final answer
    x = 263,878.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.