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Finding the Third Proportional to 127,206 and 276,282

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Solution

The third proportional to 127,206 and 276,282 is: 600,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,206 : 276,282 = 276,282 : x
  2. Step 2: Convert to fraction form
    127,206/276,282 = 276,282/x
  3. Step 3: Cross multiply
    127,206x = 276,282 × 276,282
  4. Step 4: Simplify right side
    127,206x = 76,331,743,524
  5. Step 5: Solve for x
    x = 76,331,743,524/127,206
  6. Step 6: Final answer
    x = 600,064.02

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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.