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Finding the Third Proportional to 127,596 and 274,692

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Solution

The third proportional to 127,596 and 274,692 is: 591,364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,596 : 274,692 = 274,692 : x
  2. Step 2: Convert to fraction form
    127,596/274,692 = 274,692/x
  3. Step 3: Cross multiply
    127,596x = 274,692 × 274,692
  4. Step 4: Simplify right side
    127,596x = 75,455,694,864
  5. Step 5: Solve for x
    x = 75,455,694,864/127,596
  6. Step 6: Final answer
    x = 591,364.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.