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Finding the Third Proportional to 127,746 and 263,692

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Solution

The third proportional to 127,746 and 263,692 is: 544,310.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,746 : 263,692 = 263,692 : x
  2. Step 2: Convert to fraction form
    127,746/263,692 = 263,692/x
  3. Step 3: Cross multiply
    127,746x = 263,692 × 263,692
  4. Step 4: Simplify right side
    127,746x = 69,533,470,864
  5. Step 5: Solve for x
    x = 69,533,470,864/127,746
  6. Step 6: Final answer
    x = 544,310.36

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.