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Finding the Third Proportional to 60,270 and 126,048

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Solution

The third proportional to 60,270 and 126,048 is: 263,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,270 : 126,048 = 126,048 : x
  2. Step 2: Convert to fraction form
    60,270/126,048 = 126,048/x
  3. Step 3: Cross multiply
    60,270x = 126,048 × 126,048
  4. Step 4: Simplify right side
    60,270x = 15,888,098,304
  5. Step 5: Solve for x
    x = 15,888,098,304/60,270
  6. Step 6: Final answer
    x = 263,615.37

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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.