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Finding the Third Proportional to 124,769.25 and 268,220.25

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Solution

The third proportional to 124,769.25 and 268,220.25 is: 576,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,769.25 : 268,220.25 = 268,220.25 : x
  2. Step 2: Convert to fraction form
    124,769.25/268,220.25 = 268,220.25/x
  3. Step 3: Cross multiply
    124,769.25x = 268,220.25 × 268,220.25
  4. Step 4: Simplify right side
    124,769.25x = 71,942,102,510.06
  5. Step 5: Solve for x
    x = 71,942,102,510.06/124,769.25
  6. Step 6: Final answer
    x = 576,601.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.