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Finding the Third Proportional to 126,596.81 and 274,929.19

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Solution

The third proportional to 126,596.81 and 274,929.19 is: 597,061.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,596.81 : 274,929.19 = 274,929.19 : x
  2. Step 2: Convert to fraction form
    126,596.81/274,929.19 = 274,929.19/x
  3. Step 3: Cross multiply
    126,596.81x = 274,929.19 × 274,929.19
  4. Step 4: Simplify right side
    126,596.81x = 75,586,058,139.41
  5. Step 5: Solve for x
    x = 75,586,058,139.41/126,596.81
  6. Step 6: Final answer
    x = 597,061.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.