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Finding the Third Proportional to 119,661 and 251,625

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Solution

The third proportional to 119,661 and 251,625 is: 529,120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,661 : 251,625 = 251,625 : x
  2. Step 2: Convert to fraction form
    119,661/251,625 = 251,625/x
  3. Step 3: Cross multiply
    119,661x = 251,625 × 251,625
  4. Step 4: Simplify right side
    119,661x = 63,315,140,625
  5. Step 5: Solve for x
    x = 63,315,140,625/119,661
  6. Step 6: Final answer
    x = 529,120.94

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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.