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Finding the Third Proportional to 126,862 and 276,326

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Solution

The third proportional to 126,862 and 276,326 is: 601,882.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,862 : 276,326 = 276,326 : x
  2. Step 2: Convert to fraction form
    126,862/276,326 = 276,326/x
  3. Step 3: Cross multiply
    126,862x = 276,326 × 276,326
  4. Step 4: Simplify right side
    126,862x = 76,356,058,276
  5. Step 5: Solve for x
    x = 76,356,058,276/126,862
  6. Step 6: Final answer
    x = 601,882.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.