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Finding the Third Proportional to 125,443 and 271,333

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Solution

The third proportional to 125,443 and 271,333 is: 586,892.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,443 : 271,333 = 271,333 : x
  2. Step 2: Convert to fraction form
    125,443/271,333 = 271,333/x
  3. Step 3: Cross multiply
    125,443x = 271,333 × 271,333
  4. Step 4: Simplify right side
    125,443x = 73,621,596,889
  5. Step 5: Solve for x
    x = 73,621,596,889/125,443
  6. Step 6: Final answer
    x = 586,892.83

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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.