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Finding the Third Proportional to 126,078 and 269,004

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Solution

The third proportional to 126,078 and 269,004 is: 573,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,078 : 269,004 = 269,004 : x
  2. Step 2: Convert to fraction form
    126,078/269,004 = 269,004/x
  3. Step 3: Cross multiply
    126,078x = 269,004 × 269,004
  4. Step 4: Simplify right side
    126,078x = 72,363,152,016
  5. Step 5: Solve for x
    x = 72,363,152,016/126,078
  6. Step 6: Final answer
    x = 573,955.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.