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Finding the Third Proportional to 119,636 and 251,672

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Solution

The third proportional to 119,636 and 251,672 is: 529,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,636 : 251,672 = 251,672 : x
  2. Step 2: Convert to fraction form
    119,636/251,672 = 251,672/x
  3. Step 3: Cross multiply
    119,636x = 251,672 × 251,672
  4. Step 4: Simplify right side
    119,636x = 63,338,795,584
  5. Step 5: Solve for x
    x = 63,338,795,584/119,636
  6. Step 6: Final answer
    x = 529,429.23

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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.