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Finding the Third Proportional to 126,747 and 269,633

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Solution

The third proportional to 126,747 and 269,633 is: 573,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,747 : 269,633 = 269,633 : x
  2. Step 2: Convert to fraction form
    126,747/269,633 = 269,633/x
  3. Step 3: Cross multiply
    126,747x = 269,633 × 269,633
  4. Step 4: Simplify right side
    126,747x = 72,701,954,689
  5. Step 5: Solve for x
    x = 72,701,954,689/126,747
  6. Step 6: Final answer
    x = 573,599.02

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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.