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Finding the Third Proportional to 127,026 and 273,195

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Solution

The third proportional to 127,026 and 273,195 is: 587,560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,026 : 273,195 = 273,195 : x
  2. Step 2: Convert to fraction form
    127,026/273,195 = 273,195/x
  3. Step 3: Cross multiply
    127,026x = 273,195 × 273,195
  4. Step 4: Simplify right side
    127,026x = 74,635,508,025
  5. Step 5: Solve for x
    x = 74,635,508,025/127,026
  6. Step 6: Final answer
    x = 587,560.88

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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.