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Finding the Third Proportional to 125,424 and 271,296

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Solution

The third proportional to 125,424 and 271,296 is: 586,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,424 : 271,296 = 271,296 : x
  2. Step 2: Convert to fraction form
    125,424/271,296 = 271,296/x
  3. Step 3: Cross multiply
    125,424x = 271,296 × 271,296
  4. Step 4: Simplify right side
    125,424x = 73,601,519,616
  5. Step 5: Solve for x
    x = 73,601,519,616/125,424
  6. Step 6: Final answer
    x = 586,821.66

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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.