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Finding the Third Proportional to 127,874 and 276,106

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Solution

The third proportional to 127,874 and 276,106 is: 596,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,874 : 276,106 = 276,106 : x
  2. Step 2: Convert to fraction form
    127,874/276,106 = 276,106/x
  3. Step 3: Cross multiply
    127,874x = 276,106 × 276,106
  4. Step 4: Simplify right side
    127,874x = 76,234,523,236
  5. Step 5: Solve for x
    x = 76,234,523,236/127,874
  6. Step 6: Final answer
    x = 596,169.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.