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Finding the Third Proportional to 126,007 and 274,158

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Solution

The third proportional to 126,007 and 274,158 is: 596,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,007 : 274,158 = 274,158 : x
  2. Step 2: Convert to fraction form
    126,007/274,158 = 274,158/x
  3. Step 3: Cross multiply
    126,007x = 274,158 × 274,158
  4. Step 4: Simplify right side
    126,007x = 75,162,608,964
  5. Step 5: Solve for x
    x = 75,162,608,964/126,007
  6. Step 6: Final answer
    x = 596,495.50

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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.