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Finding the Third Proportional to 122,772 and 268,966

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Solution

The third proportional to 122,772 and 268,966 is: 589,244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,772 : 268,966 = 268,966 : x
  2. Step 2: Convert to fraction form
    122,772/268,966 = 268,966/x
  3. Step 3: Cross multiply
    122,772x = 268,966 × 268,966
  4. Step 4: Simplify right side
    122,772x = 72,342,709,156
  5. Step 5: Solve for x
    x = 72,342,709,156/122,772
  6. Step 6: Final answer
    x = 589,244.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.