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Finding the Third Proportional to 127,186 and 276,242

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Solution

The third proportional to 127,186 and 276,242 is: 599,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,186 : 276,242 = 276,242 : x
  2. Step 2: Convert to fraction form
    127,186/276,242 = 276,242/x
  3. Step 3: Cross multiply
    127,186x = 276,242 × 276,242
  4. Step 4: Simplify right side
    127,186x = 76,309,642,564
  5. Step 5: Solve for x
    x = 76,309,642,564/127,186
  6. Step 6: Final answer
    x = 599,984.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.