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Finding the Third Proportional to 127,872 and 281,124

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Solution

The third proportional to 127,872 and 281,124 is: 618,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,872 : 281,124 = 281,124 : x
  2. Step 2: Convert to fraction form
    127,872/281,124 = 281,124/x
  3. Step 3: Cross multiply
    127,872x = 281,124 × 281,124
  4. Step 4: Simplify right side
    127,872x = 79,030,703,376
  5. Step 5: Solve for x
    x = 79,030,703,376/127,872
  6. Step 6: Final answer
    x = 618,045.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.