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Finding the Third Proportional to 124,048 and 268,680

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Solution

The third proportional to 124,048 and 268,680 is: 581,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,048 : 268,680 = 268,680 : x
  2. Step 2: Convert to fraction form
    124,048/268,680 = 268,680/x
  3. Step 3: Cross multiply
    124,048x = 268,680 × 268,680
  4. Step 4: Simplify right side
    124,048x = 72,188,942,400
  5. Step 5: Solve for x
    x = 72,188,942,400/124,048
  6. Step 6: Final answer
    x = 581,943.62

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Why These Related Problems?

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