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Finding the Third Proportional to 126,030 and 276,907

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Solution

The third proportional to 126,030 and 276,907 is: 608,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,030 : 276,907 = 276,907 : x
  2. Step 2: Convert to fraction form
    126,030/276,907 = 276,907/x
  3. Step 3: Cross multiply
    126,030x = 276,907 × 276,907
  4. Step 4: Simplify right side
    126,030x = 76,677,486,649
  5. Step 5: Solve for x
    x = 76,677,486,649/126,030
  6. Step 6: Final answer
    x = 608,406.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.