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Finding the Third Proportional to 124,861.50 and 269,674.13

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Solution

The third proportional to 124,861.50 and 269,674.13 is: 582,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,861.50 : 269,674.13 = 269,674.13 : x
  2. Step 2: Convert to fraction form
    124,861.50/269,674.13 = 269,674.13/x
  3. Step 3: Cross multiply
    124,861.50x = 269,674.13 × 269,674.13
  4. Step 4: Simplify right side
    124,861.50x = 72,724,133,694.52
  5. Step 5: Solve for x
    x = 72,724,133,694.52/124,861.50
  6. Step 6: Final answer
    x = 582,438.41

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Why These Related Problems?

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