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Finding the Third Proportional to 127,661 and 274,546

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Solution

The third proportional to 127,661 and 274,546 is: 590,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,661 : 274,546 = 274,546 : x
  2. Step 2: Convert to fraction form
    127,661/274,546 = 274,546/x
  3. Step 3: Cross multiply
    127,661x = 274,546 × 274,546
  4. Step 4: Simplify right side
    127,661x = 75,375,506,116
  5. Step 5: Solve for x
    x = 75,375,506,116/127,661
  6. Step 6: Final answer
    x = 590,434.87

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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.