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Finding the Third Proportional to 135,874 and 277,796

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Solution

The third proportional to 135,874 and 277,796 is: 567,957.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,874 : 277,796 = 277,796 : x
  2. Step 2: Convert to fraction form
    135,874/277,796 = 277,796/x
  3. Step 3: Cross multiply
    135,874x = 277,796 × 277,796
  4. Step 4: Simplify right side
    135,874x = 77,170,617,616
  5. Step 5: Solve for x
    x = 77,170,617,616/135,874
  6. Step 6: Final answer
    x = 567,957.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.