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Finding the Third Proportional to 133,874 and 281,554

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Solution

The third proportional to 133,874 and 281,554 is: 592,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,874 : 281,554 = 281,554 : x
  2. Step 2: Convert to fraction form
    133,874/281,554 = 281,554/x
  3. Step 3: Cross multiply
    133,874x = 281,554 × 281,554
  4. Step 4: Simplify right side
    133,874x = 79,272,654,916
  5. Step 5: Solve for x
    x = 79,272,654,916/133,874
  6. Step 6: Final answer
    x = 592,143.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.