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Finding the Third Proportional to 125,679 and 271,041

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Solution

The third proportional to 125,679 and 271,041 is: 584,530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,679 : 271,041 = 271,041 : x
  2. Step 2: Convert to fraction form
    125,679/271,041 = 271,041/x
  3. Step 3: Cross multiply
    125,679x = 271,041 × 271,041
  4. Step 4: Simplify right side
    125,679x = 73,463,223,681
  5. Step 5: Solve for x
    x = 73,463,223,681/125,679
  6. Step 6: Final answer
    x = 584,530.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.