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Finding the Third Proportional to 127,900 and 276,212

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Solution

The third proportional to 127,900 and 276,212 is: 596,505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,900 : 276,212 = 276,212 : x
  2. Step 2: Convert to fraction form
    127,900/276,212 = 276,212/x
  3. Step 3: Cross multiply
    127,900x = 276,212 × 276,212
  4. Step 4: Simplify right side
    127,900x = 76,293,068,944
  5. Step 5: Solve for x
    x = 76,293,068,944/127,900
  6. Step 6: Final answer
    x = 596,505.62

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