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Finding the Third Proportional to 130,963 and 281,041

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Solution

The third proportional to 130,963 and 281,041 is: 603,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,963 : 281,041 = 281,041 : x
  2. Step 2: Convert to fraction form
    130,963/281,041 = 281,041/x
  3. Step 3: Cross multiply
    130,963x = 281,041 × 281,041
  4. Step 4: Simplify right side
    130,963x = 78,984,043,681
  5. Step 5: Solve for x
    x = 78,984,043,681/130,963
  6. Step 6: Final answer
    x = 603,101.97

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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.