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Finding the Third Proportional to 60,144 and 126,000

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Solution

The third proportional to 60,144 and 126,000 is: 263,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,144 : 126,000 = 126,000 : x
  2. Step 2: Convert to fraction form
    60,144/126,000 = 126,000/x
  3. Step 3: Cross multiply
    60,144x = 126,000 × 126,000
  4. Step 4: Simplify right side
    60,144x = 15,876,000,000
  5. Step 5: Solve for x
    x = 15,876,000,000/60,144
  6. Step 6: Final answer
    x = 263,966.48

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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.